All talks, the poster session and breaks will take place at Rzewuski lecture hall of the Faculty for Physics and Astronomy, unless otherwise announced.
Reception: Wdech Wydech Rooftop Bar, wyspa Słodowa 7, 50-266 Wrocław
Dinner: Art Hotel, Kiełbaśnicza 20, 50-110 Wrocław
Conference Photograph: Wednesday 13:00 in Rzewuski Hall
IDD discussion: Thursday 17:45, Room 422
Titles and Abstracts
Overview Lectures
Jelle Hartong (University of Edinburgh) ↑ recording
Non-Lorentzian Geometry and Holography
Lionel Mason (University of Oxford) ↑ sildes recording
From 4d Chern Simons to Hitchin's self-duality equations on a Riemann surface
The Hitchin equations are an integrable system in two-dimensions that plays a variety of important roles across mathematics and physics and this talk will start with some of this motivation. It will go on to discuss how the 4d Chern-Simons of Costello, Witten and Yamazaki fits into ideas from 30-40 years ago that sought to unify the study of integrable systems via the study of the self-duality equations and their twistor constructions. In particular 4d Chern-Simons provides a uniform approach to 2d integrable systems and their canonical structures. The Hitchin equations have been missing in this approach and this talk will explain I will explain how Hitchin equations are incorporated with reductions to Toda and Sine Gordon, and gives new approaches to understanding canonical strucures associated with these equations. This talk is based on joint work with Roland Bittleston and Faroogh Moosavian https://arxiv.org/abs/2601.05309.
Miłosz Panfil (University of Warsaw) ↑ slides recording
Non-equilibrium dynamics of quantum many-body systems: lessons from integrability and its breaking
Invited Speakers
Leron Borsten (University of Hertfordshire) ↑ slides recording
Abstract: Homotopy algebraic methods have become increasingly influential in studying field theories. We begin by introducing the (relative) homotopy Lie algebra perceptive on quantum field theory (assuming no background). We then consider the application of this picture to integrable systems. In particular, we consider semi-holomorphic Chern-Simons theory and its relation with the principal chiral model, establishing an explicit quasi-isomorphism between the cyclic L∞-algebras governing both theories which directly gives the Lax connection.
Saskia Demulder (CUNEF Madrid) ↑ slides recording
Worldsheet integrability breaking and classical Krylov probes
Planar integrability provides a powerful tool for studying semiclassical strings, but many natural deformations break this structure. In this talk I will discuss how such breaking can be probed through the evolution of classical observables. Using the Koopman-von Neumann formulation of classical mechanics, our main construction is a classical version of Krylov complexity and its associated probes. I will explain how this Koopman-Krylov framework applies to integrability-breaking deformations of otherwise integrable semiclassical string solutions. In particular, I will show how such deformations redistribute spectral weight and lead to observable-dependent spreading in Koopman-Krylov space. This talk will be based on [2602.23421].
Andrea Fontanella (Trinity College Dublin) ↑ slides recording
Integrability Meets String Newton-Cartan Holography
I will discuss an example of String Newton-Cartan holographic correspondence between the non-relativistic limit of string theory on AdS5xS5 and Galilean Yang–Mills theory with five scalar fields. I will begin by reviewing the construction of this duality and then turn to its integrable structure, which presents a number of interesting challenges. Although the spectrum of the non-relativistic string turns out to be remarkably simple, deriving it using integrability techniques remains an open problem. Time permitting, I will also comment on other limits of AdS/CFT, including the flat space and Carroll limits.
Ben Hoare (University of Durham) ↑ slides recording
Elliptic deformations of AdS3 strings
The rational-trigonometric-elliptic hierarchy appears throughout the landscape of integrable systems. While rational models are often the simplest and elliptic models the most intricate, going up the hierarchy can unify theories and unveil hidden structures. I will review recent developments and open challenges in constructing and quantizing trigonometric and elliptic deformations of integrable string worldsheet theories.
Larisa Jonke (Ruđer Bošković Institute Zagreb) ↑ slides recording
Adiabatically-induced Kawaguchi geometry and jerk in quantum-classical systems
The dynamics of many physical systems involves slow classical degrees of freedom coupled to fast quantum variables. Adiabatic elimination of the quantum subsystem provides an effective description of the slow dynamics, with the leading corrections giving rise to geometric effects such as Berry forces and nonadiabatic mass renormalization. However, the geometric structure associated with higher-order adiabatic corrections remains largely unexplored.
In this talk, I will present a systematic construction of higher-order effective dynamics for quantum-classical systems using adiabatic perturbation theory and a hierarchy of near-identity unitary transformations. This approach generates effective actions for the classical variables that incorporate nonadiabatic effects order by order. At third order, a qualitatively new feature emerges: the effective equation of motion becomes non-Newtonian and contains a force depending on the jerk, the third time derivative of the trajectory.
I will show that this higher-derivative dynamics has a natural geometric interpretation in terms of Kawaguchi geometry, a generalization of Riemannian and Finsler geometries to higher-order tangent bundles. The resulting structure is characterized by an almost symplectic form and provides a covariant framework for describing higher-order quantum-induced forces. These results reveal how quantum adiabatic response can generate new forms of classical geometry and provide a systematic route toward improved quantum-classical simulations. The presentation is based on the joint work with Thanasis Chatzistavrakidis and Ryan Requist.
Charlotte Kristjansen (Niels Bohr Institute Copenhagen) ↑ slides recording
Black Holes and Integrable Boundary States in Quantum Spin Chains
Black hole states in quantum spin chains are particular boundary states introduced to encode thermal one-point functions of the AdS/CFT correspondence. We demonstrate that these states exhibit many intriguing features such as logarithmic growth of entanglement entropy with subsystem size and thermalization at infinite temperature. We contrast the black hole states with the integrable boundary states which describe one-point functions in the presence of D-branes, giving rise to domain wall, surface or line defects in AdS/CFT.
Tim Meier (University of Santiago de Compostela) ↑ slides recording
Tomáš Procházka (Czech Academy of Sciences) ↑ slides recording
W-algebras and ODE/IM
I want to talk about results obtained recently with Matej Kudrna in the context of ODE/IM (or ODE/IQFT) correspondence for WN algebras. WN algebras are VOAs that are natural generalizations of Virasoro algebra. They have interesting integrable structures, in particular the quantum KP hierarchy (which generalizes the quantum KdV hierarchy in the case of Virasoro). The simultaneous eigenvalues of infinite family of local conserved charges are diagonalized by Bethe equations and can be mapped via ODE/IM correspondence to ordinary differential operators in the complex plane.
We describe an algorithm that applies the WKB expansion to the ODE and allows us to calculate explicitly the eigenvalues corresponding to a given eigenstate. The central geometric object in the calculation turns out to be the WKB curve which closely related to the there-punctured sphere. This geometry is the mirror dual of the topological vertex and in particular the quantities that we calculate give in large N limit the asymptotic expansion of the MacMahon function.
Jan Rosseel (Ruđer Bošković Institute Zagreb) ↑ slides recording
From Galilei to Euclidean Carroll and the Alice Particle: The Times They Are a-Changin'
Abstract: In generalized (also known as p-brane) Galilei limits, the speed of light c becomes infinite in the directions transverse to a (p+1)-dimensional Lorentzian worldvolume. In this talk, I will argue that allowing the worldvolume to be Euclidean, and thus time to be transversal, generalized Galilei limits turn into ultrarelativistic Carrollian ones, in which c goes to zero in p+1 worldvolume directions. This leads to a unified approach to taking Galilean and Carrollian limits, that I will illustrate for p=0. In particular, I will show that one can take a generalized Carrollian limit of a relativistic worldline action for a tachyon, suitably coupled to a one-form gauge potential. This leads to the notion of an Alice particle that is a Carrollian counterpart of the standard nonrelativistic Bargmann particle. I will show that the Bargmann and Alice particles undergo stable motion for negative and positive cosmological constant, respectively, and that their actions can be obtained from null reductions of massless particle actions in relativistic spacetimes with one and two times. Finally, I will clarify the role that the Bargmann and Alice particles play in Hull's web of string theories obtained via timelike T-duality. In particular, I will argue that in 10 dimensions, the Alice particle is a decoupling limit of a D0*-brane in type IIA* theory, similar to how the Bargmann particle is related to a D0-brane in type IIA string theory.
Nika Sokolova (DESY Hamburg) ↑ slides recording
A Rosetta Stone for Wilson Line Defects
In this talk, we discuss the construction of a map between weak (gauge) and strong (string) coupling degrees of freedom for the supersymmetric Wilson line-defect in the planar N= 4 Super-Yang-Mills. By analysing the Partition Functions at zero and infinite coupling, we propose a map from degrees of freedom capturing single- and singlet two-particle states at zero coupling to infinite coupling. This map predicts that the dimension of states in these particular sectors doubles as it goes from zero to infinite coupling. We test this prediction against the non-perturbative spectrum of insertions on the Wilson line obtained using integrability.
Colin Sterckx (Université Libre de Bruxelles) ↑ slides recording
How to uplift non-maximal gauged supergravities
Embedding lower-dimensional gauged supergravities into ten- and eleven-dimensional supergravity has played a central role in the construction of string and M-theory backgrounds. In this talk, I will present a general framework for uplifting non-maximal gauged supergravities based on exceptional field theory and generalized geometry, extending techniques that were previously available only for maximally supersymmetric theories. Our approach imposes geometric constraints on the internal manifold and systematically reduces the consistency conditions to a tractable system of partial differential equations. I will present the complete classification of type IIB uplifts of the four-dimensional half-maximal SO(4)-gauged supergravity admitting an N=4 AdS_4 solution, yielding consistent truncations around any of the d'Hoker–Estes–Gutperle solutions. I will also discuss the uplift of a distinct SO(4) gauging of four-dimensional N=4 supergravity that admits a dS_4 solution, illustrating the broader applicability of the framework.
Contributed Talks
Ysla França Adans (Institute of Theoretical Physics — IFT/UNESP - Brazil) ↑ slides recording
Finding Integrable Deformations
In this work, we investigate nearest-neighbour deformations of integrable models. Using the Boost Operator method, we construct deformations parametrized by a continuous variable through an order-by-order expansion of the Hamiltonian. This framework provides a systematic way to identify deformation terms that satisfy the commutation relations of the conserved charges. We show that such deformations fall into three classes: those that break integrability, those that preserve it, and those that remain integrable only perturbatively up to a given order. We illustrate this classification with applications to quantum spin chains, highlighting key features such as quasi-integrable charges and the perturbative R-matrix.
Meer Ashwinkumar (Albert Einstein Center, University of Bern) ↑ slides recording
Integrable Deformations of the Breitenlohner-Maison Model from 4d Chern-Simons Theory
We derive integrable deformations of the 2d Breitenlohner-Maison (BM) sigma model that describes the stationary, axisymmetric sector of 4d general relativity, as well as higher-rank generalisations thereof, using the framework of 4d Chern-Simons theory. In particular, we consider deformations of the boundary conditions and action of the 4d Cole-Weck model, which lead to deformations of the BM model associated with solutions to the homogeneous and inhomogeneous classical Yang-Baxter equations respectively. Based on arXiv:2604.26452 in collaboration with Matthias Blau.
Ryan Cullinan (University of York) ↑ slides recording
On the structure of higher-dimensional integrable field theories
We propose a general framework for integrable field theories in arbitrary spacetime dimension d+1 which is based on d-term L-infinity algebras. Specifically, we introduce cyclic L-infinity algebras describing topological-holomorphic higher Chern-Simons theories on M x CP1 with suitable singularity structures and boundary conditions, controlled by a meromorphic 1-form on CP1. Using homological perturbation theory and homotopy transfer, we construct weakly equivalent models describing (d+1)-dimensional field theories on M. Their integrability is witnessed by a natural map to an L-infinity algebra describing higher Lax connections, yielding conserved charges associated with higher-dimensional cycles in M. The resulting theories admit natural action functionals and recover the Costello-Yamazaki construction in 2 dimensions.
Max Downing (ENS) ↑ slides recording
Modular properties of generalised Gibbs ensembles
2d CFTs contain an infinite set of mutually commuting conserved currents. These currents are connected to the KdV hierarchy. These charges can be interested into torus partition functions to give generalised Gibbs ensembles. A natural question to ask is: what modular properties do these generalised Gibbs ensembles have? We will answer this question by explicitly calculating the modular transformation. We will use tools from integrability, such as the thermodynamic Bethe ansatz, to calculate the modular transformation and study it’s properties. Time permitting, I will also comment on recent efforts to understand the integrable structure of the transformed GGE and comment on a possible new ODE/IM correspondence.
Miguel García Fernández (IGFAE-University of Santiago de Compostela) ↑ slides recording
Groenewold-Moyal twists, integrable spin-chains and AdS/CFT
We take the first steps to address via integrability the spectral problem of AdS/CFT deformed by Groenewold-Moyal twists. In particular, we consider a twisted spin-chain that couples, through a Groenewold-Moyal twist deformation, two sl(2)-invariant spin-chains. We interpret this deformed spin-chain as a deformation of a subsector of the AdS3/CFT2 spin-chain, but the construction shares qualitative features also with the corresponding deformation of the AdS5/CFT4 spin-chain. Based on arXiv:2604.07291v2
Rob Klabbers (Humboldt Universität zu Berlin) ↑ slides recording
Hybrid systems and deformation quantisation
Every good quantum system has a classical limit, but how to define the latter is not always obvious. In the standard formulation of deformation quantisation, the classical limit of a quantum system is a quotient of the quantum algebra of observables (and most often coincides with setting hbar=0). For quantum systems with spin, this procedure can yield a non-commutative algebra. This does not admit a natural interpretation as functions on some phase space, and hence does not seem like a good model of classical physics. If in the hamiltonian description of the system the spin degrees of freedom are somewhat separated, though, one can solve this problem by considering the classical limits of the hamiltonian separate from other observables.
I will introduce the general setting of deformation quantisation and show how for spin systems this adapted procedure gives rise to a consistent notion of time evolution. Moreover, it will be clear that the resulting system is not fully classical, and still has quantum spins; it is a hybrid. This formalises the Born-Oppenheimer approximation in this context. I will argue that for integrable systems, evaluating on shared classical equilibria one can consistently truncate to yield a model of interacting quantum spins. Based on Sections 3 and 5 of https://arxiv.org/abs/2507.13104 written with Jules Lamers.
Julian Kupka (University of Hertfordshire) ↑ slides recording
Recent Advances in Twists of D=10, N=1 Supergravity
Twisted supergravities, as conjectured by Costello and Li, promise a bridge between BV formulations of supergravities and holomorphic and thus controlled sectors of string theory, ultimately giving a glimpse into a rigorous definition of (sub sector of) quantum gravity. In this talk, we present our recent progress on a generalisation of the conjecture to arbitrary flux backgrounds and a proof thereof. We first review our construction of the BV theory of N=1, D=10, supergravity using the framework of generalised geometry. In this language, we present our 'Courant Contact Model' as the conjectural result of the twist in arbitrary flux backgrounds. The model is built from the a twisted supergravity and can be understood as an analogue of Kodaira-Spencer theory in generalised geometry. We finally show how this recovers the Costello-Li conjecture on Calabi-Yau five-folds. This talk is based on joint work with Fridrich Valach, Charles Strickland-Constable and Ingmar Saberi (arxiv: 2602.0465, 2501.18008, and 2604.25803).
Sylvain Lacroix (Sorbonne Université (LPTHE)) ↑ slides recording
Integrable structure of the SU(2) WZNW model
The SU(2) Wess-Zumino-Novikov-Witten model is one of the best understood 2d conformal field theory. In this talk, I will discuss its integrable structure. In particular, I will give evidence for the existence of an infinite number of commuting higher-spin local charges built from the current algebra underlying this CFT. In the second half of the talk, I will discuss the diagonalisation of these commuting operators on the Hilbert space of the theory, formed by highest-weight representations of the current algebra. In particular, I will review a conjecture relating the spectrum of these operators to the properties of specific ODEs (within the so-called ODE/IM correspondence). This talk is based on 2601.20960, in collaboration with Adrien Molines.
Dennis le Plat (Wigner Research Centre for Physics, Budapest) ↑ slides recording
Correlation functions in N=2 orbifolds from integrability
Integrability has proven to be a powerful tool not only for solving the spectral problem of N=4 Super-Yang–Mills theory, but also for computing structure constants. In this work, we investigate how the hexagon framework can be extended to orbifolds of N=4 SYM, which remain integrable theories.
Focusing on a class of N=2 supersymmetric Z(N) orbifold theories, our results show that the formalism can be adapted with only minor modifications. We test these ideas by comparing the resulting expressions for structure constants with direct gauge-theory computations at tree level, finding agreement. These results complement recent studies of BPS correlators in orbifold theories based on localisation. Beyond the published tree-level analysis, I will briefly discuss ongoing work exploring the extension of these methods beyond leading order. While preliminary, these results provide further evidence that integrability-based techniques may offer a systematic handle on structure constants in orbifold theories at finite coupling.
Eric Lescano (Wroclaw University) ↑ slides recording
Nonclosed scalar charges in black hole thermodynamics and their T-duality rewriting
I will discuss a modern framework for defining scalar charges for stationary, asymptotically flat black holes in four-dimensional Einstein–scalar–Gauss–Bonnet gravity with a general scalar coupling function. Contracting the scalar field equation of motion with the horizon generator yields a non-closed-form scalar charge, revealing a bulk contribution encoded in a 3-form that measures the obstruction to its closedness. I will analyze the role of non-closed scalar charges in black hole thermodynamics through the Smarr formula for more general couplings and its relation to the spontaneous scalarization mechanism. In the final part of the talk, I will present recent progress toward a T-duality-invariant generalization of these results within the framework of Double Field Theory and its Kosmann derivative operator, to restore the double Lorentz symmetry of the charges. The talk is based on the following articles: Phys.Rev.D 113 (2026) 8, 084039 and arXiv:2602.11267 (recently accepted in JHEP).
Georgios Linardopoulos (Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS)) ↑ slides
Holography of a novel codimension-2 defect CFT
We propose and study a new holographic duality between a non-supersymmetric defect conformal field theory (dCFT) and its gravity dual. On the gravity side, the defect is realized by a novel solution of a D5 probe brane embedded in AdS5xS5. The D5 brane wraps an S2 inside S5 and carries k units of flux through the S2. The symmetry of the induced on the brane metric is AdS3xS1xS2. The brane ends on an R(1,1) subspace of the 4-dimensional AdS5 boundary resulting in a codimension-2 defect. On the field theory side, the 2-dimensional defect is described by a classical solution whose precise form we determine. Subsequently, we calculate the one-point function of chiral primary operators and the energy-momentum tensor, first at strong and then at weak coupling. In an appropriate limit, the weak and strong coupling results agree. We also extract one of the (B-type) defect Weyl anomaly coefficients.
Josh O'Connor (Rudjer Boskovic Institute) ↑ slides
Higher dualities in E11 exceptional field theory
It has been conjectured that there exists an E11-invariant formulation of eleven-dimensional supergravity in which the propagating fields of the theory are realised through an infinite tower of higher dual potentials. In this work, we prove this conjecture explicitly within E11 exceptional field theory at the linearised level. Starting from the pseudo-Lagrangian, we construct parent actions for all higher dual fields associated with the three-form, the six-form, and the dual graviton. The additional Stueckelberg fields, which are not predicted by the tensor hierarchy algebra, are shown to play a specific role as sources for the Labastida tensors of the higher dual fields.
Ana Lucia Retore (DESY Theory Group) ↑ slides recording
Dynamical Temperley-Lieb and the Z(N) Orbifold Hamiltonian
The XXZ spin-chain Hamiltonian has a well-known realization in terms of Temperley–Lieb generators, providing a powerful algebraic framework for understanding its structure. Motivated by this connection, I will discuss the Z(N) orbifold Hamiltonian appearing in N=2 superconformal field theory under a new perspective. Although this Hamiltonian is not integrable in the conventional sense, it shares several notable features with the XXZ model. In this talk I will show that its XZ sector admits a formulation in terms of dynamical Temperley–Lieb generators. I will also show a graphical representation of this construction.
Paul Ryan (DESY) ↑ slides recording
Structure Constants and Separation of Variables
We introduce a novel method to compute structure constants from Q-functions in the scalar sector of planar N=4 super Yang-Mills (SYM) and related theories. The method derives from operatorial as well as functional separation of variables, and the structure constants are expressed as determinants of matrices whose entries are integrals over products of Q-functions. In this framework, each operator is twisted by an external angle, mirroring the cusped Maldacena-Wilson loop. The structure constants of local single-trace operators in N=4 SYM are recovered in the untwisting limit, where we obtain a one-to-one correspondence between our key building blocks and those of the Hexagon formalism. Retaining appropriate twists, our structure constants also perfectly match those of the orbifold points of N=4 SYM. Our results thus far are valid at leading order in the weak-coupling expansion, but their formulation in terms of Q-functions provides a natural starting point for including loop corrections. Many of the methods we develop in this work apply more generally to the computation of correlation functions in integrable models.
Sanjaye Ramgoolam (Queen Mary University of London) ↑ slides recording
Charges, Graphs and Determinants
Quantum mechanical systems with complete sets of commuting charges determining the representation theoretic basis elements of finite dimensional algebras are of interest in gauge-string duality and computational complexity. I will describe examples involving group algebras of symmetric groups and their sub-algebras, which are relevant to BPS sectors of N=4 super-Yang Mills theory with U(N) gauge group. Information-theoretic questions about the BPS states motivate the identification of minimal non-linearly generating sets of combinatorial elements in commutative semi-simple algebras and the construction of a basis from monomials in these minimal generators. A general proposal for such a basis is described, which uses tree graphs based on eigenvalue degeneracies of the commuting charges. The proposal is supported by general counting and partial constructive proofs. Additional computational evidence is based on a graph determinant defined using the degeneracy graphs and the proposed monomials. The graph determinant generalises the well-known Vandermonde determinant. The talk is based on the paper https://arxiv.org/abs/2603.05259.
Parita Shah (Durham University) ↑ slides recording
Auxiliary field deformed E-model
We construct a novel class of auxiliary field deformations of integrable E-models, providing a unified framework for several known auxiliary field sigma models. We show classical integrability by explicitly constructing flat Lax connections for the deformed equations of motion. Our framework reproduces the principal chiral model, its non-abelian T-dual, and Yang-Baxter deformations as particular cases. We further obtain an auxiliary field deformed lambda-model together with its flat Lax representation, extending the integrable structure of the auxiliary field deformations as well as E-model formalism.
Anders Wallberg (CERN/EPFL) ↑ slides recording
Time-dependent integrability from Gauge Theory
Solvable time-dependent systems provide important setups for studying non-equilibrium physics, where exact results are rare. We focus on classical integrable systems, which are known to be constructible from a 4D Chern-Simons Theory. By appropriately generalising this gauge theory, we construct a zoo of different time-dependent integrable models, most of which were previously unknown, and show that they are solvable by the inverse scattering method. We show how these systems have various connections to condensed matter physics, non-autonomous sigma-models , RG-flow and dimensionally reduced black holes.
Posters ↑
Nicolò Brizio (Università degli Studi di Padova)
More on TTbar-like deformations in higher dimensions
The TTbar deformation is a remarkable example of a solvable irrelevant deformation in two-dimensional quantum field theory. Its extension to higher dimensions is obstructed by the loss of factorisation and the onset of non-locality. In this poster, I present a class of TTbar-like deformations in d>2 formulated directly in terms of the stress-energy tensor. I show how these flows naturally lead to non-linear theories, including Dirac–Nambu–Goto and Born–Infeld–type actions, providing a unified perspective on their structure across dimensions. These results suggest that stress-tensor deformations offer a general framework to generate and organise non-linear field theories beyond two dimensions, with potential implications for integrability and locality.
Julio Cabello Gil (Humboldt Universität zu Berlin)
Noncommutative Super Yang-Mills from Drinfel’d-Twisted Superspace
Yang-Baxter deformations are a powerful tool for constructing integrable string backgrounds, but identifying their holographic duals remains a major open question. While in many Jordanian examples the expected dual is a noncommutative deformation of supersymmetric gauge theory, such a formulation has so far been lacking. We fill this gap by building star-deformed N=1 SYM actions in superspace for Drinfel’d-twist deformations of the super-Poincaré algebra, providing a systematic field-theoretic framework for studying candidate holographic duals.
Minkyeu Cho (Kyung Hee University)
Worldline Higher spin gravity
We propose a worldline model for interacting higher spin gravity in AdS4, drawing on the analogy with the worldsheet description of strings. The model is described by an action with vanishing Hamiltonian and admits a natural double-line interpretation, in which the gluing of worldlines at vertices acquires a geometric meaning analogous to that of joining strings. We show that the induced spectrum reproduces the Flato–Fronsdal spectra of type-A and type-B higher spin gravity in AdS4, and that the n-point functions in the integer-spin sector match the known correlators of the dual free boson and free fermion CFTs. Intriguingly, with a suitable choice of boundary conditions, several features of our framework are similar to those of electromagnetism, including a mirror-image structure for two-point functions in the Poincar´e patch of AdS. We also clarify a number of subtle points that often go unmentioned in the literature.
Lewis Cole (University of Edinburgh)
Higher-d integrable scattering
Contrary to popular belief, there are nontrivial scattering events in higher-dimensional integrable models. These can occur in at least two circumstances: in collinear limits of particle scattering; and in scattering between extended objects. Taking the (2+1)d integrable chiral model [Manakov, Zakharov '81; Ward '88] as a case study, the tree-level scattering can be computed using integrability techniques.
Ümit Ertem (Ankara University)
Generalized Kosmann Derivative and Symmetry Operators on Dirac Structures
We construct the explicit form of the generalized Lie derivative on generalized geometry spinors as an extension of the Kosmann derivative on spinors. We consider generalized Killing vectors, their antisymmetric generalizations corresponding to Killing-Yano forms and conformal counterparts of these geometric objects on Dirac structures constructed on the generalized tangent bundle. We derive the integrability conditions for generalized Killing vectors and Killing-Yano forms and construct the symmetry operators of generalized Killing and twistor spinors on Dirac structures. Possible superalgebra structures which can be constructed from these geometric properties are also discussed.
Eggon Viana Teixeira Galvão
Integrable Deformations on Coset Spaces
In this work, we construct new classically integrable deformations of two-dimensional sigma models on symmetric coset spaces G/H. The key novelty is the introduction of spectator fields, encoded through a 1-cocycle R1, mapping the Lie algebra g into a g-module V, which acts alongside a standard Yang-Baxter R-matrix restricted to a subalgebra of g. The action of the new model differs from the standard Yang-Baxter deformation by eta2-correction built from the 1-cocycle map R1, and the equations of motion involve two deformed currents — one valued in g and one in V — coupled together. Classical integrability is established by constructing a Lax pair valued in the extended algebra g+V, whose flatness on-shell requires the two operators R and the R1 map to satisfy compatibility conditions generalizing the modified Classical Yang-Baxter Equation, together with an abelianness condition on a subspace of V. The construction is given a geometric interpretation as a consistent truncation of a standard Yang-Baxter model on a larger coset, with the cocycle condition of R1 emerging precisely as the consistency requirement. Explicit examples are worked out for the n-sphere, Anti-de Sitter spaces, and complex projective spaces, while Grassmannians are shown to obstruct the construction due to the failure of the abelianness condition.
Achilleas Gitsis (University of Wrocław)
α' bootstrap
α' (higher-derivative) corrections play a pivotal role in constructing a UV complete gravitational theory. They can be interpreted as loop corrections of the underlying σ-model. However, due to the exponential growth in the number of terms, computing α'-corrections to string theory's low-energy effective actions is a challenging matter. This difficulty can be overcome by exploiting T-duality, which severely constrains the allowed structure of the effective action. It is then convenient to work in a formulation where T-duality is a manifest symmetry. We present a refined version of an elegant and effective procedure that allows to obtain all the higher-derivative corrections of the NS-NS sector of string theories at order α' and α'2, up to an overall coefficient.
Keith Glennon (Trinity College Dublin)
Dualities From a Kac-Moody Algebra Perspective
Dualities provide the key to uncovering hidden Kac-Moody symmetries in gravitational, m- and string-theoretic systems. In this poster, we review how these symmetries appear in:
a) the low-energy descriptions of M-theory via E11;
b) the 26-dimensional closed bosonic string via K27;
c) Einstein gravity via A1+++.
The central idea is that dualities make the otherwise hidden infinite-dimensional symmetry algebras manifest.
From a symmetry-first perspective, dualities are therefore not secondary features, but central organizing principles.
Özgür Kelekçi (University of Turkish Aeronautical Association)
Killing-Yano Symmetries in Torsionful Geometries under T-Duality
We analyze the effect of Abelian T-duality on Killing–Yano (KY) p-forms in the presence of a non-trivial three-form torsion. Adopting a metric-compatible torsionful connection together with the Buscher rules, we obtain compact, coordinate-free transformation laws for KY forms of arbitrary degree. As a notable consequence, we prove that a Killing 1-form is preserved under the duality map whenever its transverse components do not depend on the isometry direction. We further illustrate the formalism in explicit general relativity examples, including Schwarzschild and de Sitter spacetimes, and construct the corresponding dual KY forms to examine the induced symmetry structure. Finally, we comment on the relevance of this framework from the perspective of generalized geometry, where T-duality and torsion admit a unified O(d,d)-covariant description.
Kuba Krawczyk (The University of Sheffield)
N=4 Index from Bethe Ansatz and the Calogero-Moser Conjecture
While the Bethe Ansatz formulation of the 4d N=4 Super-Yang-Mills superconformal index has been extensively studied for type A gauge groups, other algebras have remained largely unexplored. In this work, we solve the BAEs for all classical rank-two algebras (B2/C2, and D2), alongside semi-analytic results for G2, the only exceptional rank-two algebra. Non type A solutions turn out to be structurally completely different from type A and exhibit a plethora of exotic phenomena. Guided by these exact, novel solutions, we propose a unifying conjecture: the solutions to the index BAEs are in direct correspondence with the extrema of the untwisted elliptic Calogero-Moser (CM) integrable system associated with the respective gauge algebra.
Ian Le Meur (LPTP, EPFL)
Probing the integrability of elliptic AdS3 strings with mixed flux
We construct an embedding of the elliptic AdS3xS3xT4 metric into supergravity with a mixture of NSNS and RR fluxes. We quantise the theory in light-cone gauge and show that the worldsheet scattering leads to non-elastic processes as soon as a B-field is turned on, signaling a breakdown of integrability.
Ricky Li (University of York)
Effective Hamiltonians and Wilson-Polchinski Renormalisation
We develop a novel approach to the Wilsonian renormalisation of Hamiltonians for 2-dimensional quantum field theories on the cylinder described in the UV by marginally relevant deformations of conformal field theories. To introduce a Wilsonian short-distance cutoff we make essential use of free field realisations of the full vertex operator algebra in the UV. Our method is intrinsically non-perturbative; we derive a Hamiltonian analogue of Polchinski’s equation describing the flows of all couplings.
As a primary example of our general method, we apply it to the marginal anisotropic deformation of the Wess-Zumino-Witten model at level 1, which is equivalent to the sine-Gordon model on the cylinder. In particular, we reproduce the standard renormalisation group flow of the sine-Gordon model near the Kosterlitz-Thouless point to second order in the couplings, a result usually derived using Lagrangian/path-integral methods.
Adrien Molines (ETH Zurich)
Long-range spin chains and inelastic worldsheet scattering
Recently, inelastic worldsheet scattering has been shown to appear in integrable deformations of the AdS5/CFT4 correspondence, in contrast to standard integrability requirements. Despite the absence of a factorised S-matrix, integrability still enabled the study of these models’ spectra, suggesting integrability might also describe models beyond elastic scattering. We propose a realisation of these features in integrable spin chains through long-range deformations involving root generators. In particular, we expose through Coordinate Bethe Ansatz how magnon decay arises, and investigate the deformation of the chain’s spectrum. We conclude by commenting on the universality of these effects in other deformations of AdS/CFT, as well as in undeformed AdS/CFT through the use of non-standard light-cone gauges.Recently, inelastic worldsheet scattering has been shown to appear in integrable deformations of the AdS5/CFT4 correspondence, in contrast to standard integrability requirements. Despite the absence of a factorised S-matrix, integrability still enabled the study of these models’ spectra, suggesting integrability might also describe models beyond elastic scattering._x000D_ We propose a realisation of these features in integrable spin chains through long-range deformations involving root generators. In particular, we expose through Coordinate Bethe Ansatz how magnon decay arises, and investigate the deformation of the chain’s spectrum. We conclude by commenting on the universality of these effects in other deformations of AdS/CFT, as well as in undeformed AdS/CFT through the use of non-standard light-cone gauges.
Mustafa Salih Zöğ (Istanbul Technical University)
A Twisted Origin for Magnetic Carroll Supersymmetry
Magnetic Carrollian theories provide a natural setting for field theories with nontrivial spatial structure in the Carroll limit and are therefore natural candidates for flat-space holographic duals. Embedding such boundary theories into a top-down framework requires a consistent supersymmetric completion and, in particular, an understanding of the relativistic origin of magnetic Carroll supersymmetry. We show that the relevant magnetic Carroll algebra does not arise from a naive contraction of the standard relativistic supersymmetry algebra, but instead descends from a twisted relativistic parent. As an explicit realization, we construct a three-dimensional N = 2 magnetic Carroll algebra together with a supersymmetric vector-multiplet action. Unlike the electric case, the resulting structure contains one supercharge that squares to spatial momentum, a mixed anticommutator that yields the Hamiltonian, and a nilpotent second supercharge. We further show that its conformal extension coincides with the global part of a supersymmetric BMS4 algebra. This provides a physical and relativistic origin for a super-BMS4 structure recently identified by complementary algebraic methods, and strengthens the case for magnetic Carroll theories in flat-space holography and supersymmetric asymptotic symmetries.
Luca Scala (University of Wrocław)
α' bootstrap
Computing higher derivative corrections to the low-energy effective action of string theories is a long standing problem. I will present an elegant and effective procedure based on T-duality that allows to obtain all the higher-derivative corrections of the NS-NS sector of sting theories at order $\alpha'$ and $\alpha'^2$, modulo an overall coefficient, with striking computational simplicity. This poster is based on results that will be soon published in a joint paper with Achilleas Gitsis and Falk Hassler. We dubbed this approach $\alpha'$-bootstrap, since it relies on a constraining procedure that avoids the direct computation of scattering amplitudes.
Thomas Scheutz (Humboldt-Universität zu Berlin)
The twisted Inozemtsev model
There is a deformed version of the Inozemtsev spin chain, obtained by freezing a dynamical, elliptic Ruijsenaars–Schneider model. The deformation introduces a twist, and the model interpolates between the twisted XXX spin chain and the twisted Haldane-Shastry model found by Fukui and Kawakami. I will present some initial results about the model.
Koen Schouten (Trinity College Dublin)
Quantum group structure of long-range integrable deformations
Quantum integrable spin chains are known to possess a large family of long-range deformations generated by the local, boost and bilocal operators. In this talk, I will provide a quantum group-theoretical description for the family of long-range deformations up to first order in the deformation parameter. In particular, I will show that the long-range deformations are obtained via a twist of the algebraic structure of the underlying quantum group. This twisting yields a generally non-associative algebra with a non-trivial Drinfeld associator. The Drinfeld associator is then shown to encode the information about the long-range interaction terms for the integrable spin chain. Importantly, the deformed quantum group still contains a large perturbatively associative substructure, thus ensuring the perturbative integrability of the long-range model. The deformed quantum group provides explicit expressions for the Lax operators and R-matrices of the long-range deformed models, which manifestly satisfy the RLL relation and the Yang-Baxter equation up to first order in the deformation parameter.
Alex Swash (University of Wroclaw)
Tensor hierarchy from deformation quantisation
TBA
Charles Thull (City St George's, University of London)
The Hagedorn temperature of N=4 SYM with a twist
I will discuss the Hagedorn temperature in N=4 SYM in the presence of chemical potentials. We compute this Hagedorn temperature using
1) explicit state counting in the CFT at weak coupling,
2) the thermal scalar as an effective string model at strong coupling, and
3) the numerical Quantum Spectral Curve. Based on arXiv:2512.05810
Gabriel Vieira Lobo (São Paulo State University (UNESP))
K-matrices for integrable superconductivity models
Integrable lattice models with electron pairing provide a useful setting to investigate strongly correlated systems and boundary effects. A new class of such one-dimensional models was classified in [1]. They describe nearest-neighbor interactions in which each lattice site can be either empty or occupied by an electron pairs. Two of these models are governed by hermitian hamiltonians and one involves a linear combination of hermitian and anti-hermitian terms. These properties, together with the dynamics of electron-pair propagation, make these models particularly interesting to investigate. In this work, we classify regular and non-regular K-matrices satisfying the reflection equation, providing integrable boundary conditions for these models.
[1] M. de Leeuw, A. Pribytok, A. L. Retore and P. Ryan, J. Phys. A: Math. Theor. 53, 385201 (2020).