Timetable
All talks, the poster sessions and breaks will take place at Rzewuski lecture hall of the Faculty for Physics and Astronomy, unless otherwise announced.
Reception: TBA
Dinner: Art Hotel, ul. Kiełbaśnicza 20
Titles and Abstracts
Overview Lectures
Jelle Hartong (University of Edinburgh) ↑
TBA
Lionel Mason (University of Oxford)
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)
TBA
Invited Speakers
Leron Borsten (University of Hertfordshire)
TBA
Saskia Demulder (CUNEF Madrid)
TBA
Andrea Fontanella (Trinity College Dublin)
TBA
Ben Hoare (University of Durham)
TBA
Larisa Jonke (Ruđer Bošković Institute Zagreb)
TBA
Charlotte Kristjansen (Niels Bohr Institute Copenhagen)
TBA
Tim Meier (University of Santiago de Compostela)
TBA
Tomáš Procházka (Czech Academy of Sciences)
TBA
Jan Rosseel (Ruđer Bošković Institute Zagreb)
TBA
Nika Sokolova (DESY Hamburg)
TBA
Colin Sterckx (Université Libre de Bruxelles)
TBA
Contributed Talks
Ysla França Adans (Institute of Theoretical Physics — IFT/UNESP - Brazil)
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)
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)
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)
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)
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)
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)
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))
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)
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)
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))
Heavy holographic correlators in defect conformal field theories
We review bottom-up methods for the study of holographic defect conformal field theories which are dual to probe branes. After revisiting the top-down methods which are available for the study of these systems, we determine the embedding of codimension-1 probe branes in AdS space with the bottom-up method. Then we take up the computation of correlation functions with the method of geodesic approximations. We compute one-point functions, reflected two-point functions, as well as ambient and defect channel two-point functions. We demonstrate that our results fully agree with the boundary operator expansion (BOE) and the operator product expansion (OPE).
Josh O'Connor (Rudjer Boskovic Institute)
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)
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)
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)
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)
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)
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
TBA
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)
Dualities of Gauge Theories on Quantum Spaces via Morita Theory
The history of using Morita theory to describe dualities amongst gauge theories goes back to Connes-Douglas-Schwarz in '97 in the context of Matrix theory compactification on non-commutative tori. In this work, we propose a generalisation of this idea to gauge theories on homogeneous spaces of quantum groups. To do this, we generalise the notion of equivariant Morita bimodules and equip them with linking connections. Examples of our construction include dualities between theories on quantum AdS_2 and dS_2 which makes it relevant for the study of SYK-like models.
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.
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).