Conveners
Plenary session
- [Chair: Antoine Van Proeyen]
Plenary session
- [Chair: Marika Taylor]
Plenary session
- [Chair: Diego Trancanelli]
Plenary session
- [Chair: Simon Ross]
Plenary session
- [Chair: David Vegh]
Plenary session
- [Chair: Silvia Penati]
Plenary session
- [Chair: Nils Obers]
Plenary session
- [Chair: Martin Ammon]
Plenary session
- [Chair: Michela Petrini]
Plenary session
- [Chair: Neil Lambert]
Plenary session
- [Chair: Koenraad Schalm]
Plenary session
- [Chair: Nick Evans]
I will discuss the conjectured relation between the bulk momentum and the rate of growth of complexity in CFTs from the perspective of the recent developments on complexity in the Krylov basis.
I describe an axiomatic formulation of QFT (following Segal, Atiyah, and Kontsevich) using bordism and the language of infinity categories. In this language, QFTs are collectively assembled into a generalized space, whose (higher) homotopy groups encode (generalized) symmetries of QFTs. In this picture, 't Hooft anomalies can be understood as a failure to respect locality. A new kind of...
I will describe a surprisingly simple representation of a class of integrated correlation functions of four superconformal primaries in the stress tensor multiplet of $\mathcal{N}=4$ supersymmetric Yang-Mills theory with arbitrary simple gauge group, $G$. I then present exact formulae for these integrated correlators which are manifestly invariant under GNO electro-magnetic duality. For...
We present a streamlined approach to evaluating classical observables in gravitational two-body scattering using the exponential representation of the scattering matrix. This method leverages the KMOC description of observables, where the classical contribution boils down to a simple matrix element of an operator. In the conservative sector, this operator corresponds to the radial action. We...
I will talk about defect renormalization group flows recently found in ABJM theory. In such a setting, we find RG flow trajectories that may or may not preserve some subset of the original N=6 supersymmetry. The beta-functions have a large spectrum of fixed points representing superconformal defects that provide a rich arena to study quantum effects in 2+1 dimensional theories. This sheds new...
I will discuss some recent progress in the duality between gauge fields and string, in particular in what respects recent advances on models of confinement.
Carrollian holography aims to express gravity in four-dimensional asymptotically flat spacetime in terms of a dual three-dimensional Carrollian CFT living at null infinity. Carrollian amplitudes are massless scattering amplitudes written in position space which can be re-interpreted as correlators in a putative dual Carrollian CFT. I will review the properties of these amplitudes and argue...
The experimental revolution unleashed by the discovery of gravitational waves will gradually unfold over the coming decades. Maximizing the discovery potential requires a theoretical understanding of out-out-of-equilibrium quantum matter coupled to dynamical classical gravity. I will discuss the insights that holography can offer into this challenging regime. I will focus on phase transitions...
In this talk, I will present recent developments in the study of Conformal Field Theories (CFTs) at finite temperature. Thermal dynamics are constrained by the Kubo-Martin-Schwinger (KMS) condition. I will present novel sum rules for one-point functions, providing a basis for setting up a numerical bootstrap problem. The KMS condition can also be used to extract the leading behaviour of...
In the AdS/CFT context, 1/2-BPS asymptotically AdS supergravity solutions
can be used to derive holographic 4-point correlators. Beside reproducing
known strong-coupling results for the 4-point correlators with single
particle states, this approach can be used to derive new 4-point
correlators with two single particle and two multiparticle states. I will
provide some explicit examples of...
Studying strings on backgrounds with RR fluxes quantitatively is very challenging. A perfect arena to make progress is that of AdS3 geometries, where one may start from better-understood NSNS backgrounds and gently switch on RR fluxes.
I will review the recent (and not-so-recent) progress in this direction, obtained by a combination of integrability, worldsheet CFT and dual CFT techniques...
I will discuss algebraically special solutions of four-dimensional gravity in the context of holography. These are exact solutions of the field equations that contain a number of arbitrary transverse functions subject to non-linear constraints. In the case of negative cosmological constant, the configuration space defined by such solutions is not compatible with standard Dirichlet boundary...
In 2012.08530 a supersymmetric black hole with spindle horizon was constructed, displaying some striking new features and opening up at least two lines of investigations. Firstly, prompted by the new black hole in the past three years several new supergravity solutions based on orbifolds have been constructed in the literature. Moreover, via holography, these results motivated the study of...
In this talk, I will review our recent progress in understanding the intricate relationship between elliptic finite-difference integrable models and 4D superconformal indices. Although this connection has been known for some time, we have recently achieved significant advancements in this area.
I will begin by briefly reviewing how these models arise in superconformal index computations,...
The notion of generalized (von Neumann) entropy of entanglement plays a central role in the semiclassical island mechanism for information retrieval from black holes. In this talk, I will address the question whether there is a generalized Renyi entropy, for general replica number, within the context of gravity coupled to a radiation bath, by examining the nature of replica wormhole...
I will discuss how generic quantum corrections lift the moduli space of BPS branes in 4d N=1 scale-separated solutions like DGKT. This means that there is a tension between this scenario and the WGC for membranes, which demands the existence of an exactly extremal brane.
The Euclidean gravitational path integral involves a sum over topologies. In this talk, we discuss how topology change can be incorporated into the (Lorentzian) Hilbert space description of quantum gravity. Our proposal leaves the semiclassical space of states intact, but modifies the inner product between them giving rise to a plethora of null states. To illustrate the use of this formalism,...
I will discuss recent progress in understanding global aspects of the path integral of 3d (or 4d) supersymmetric gauge theories with four supercharges on compact spaces. For simply-connected (or unitary) gauge groups, the so-called Bethe-vacua method allows one to compute many supersymmetric observables in terms of a lower-dimensional 2d TQFT, the topological A-twist of an effective 2d gauge...
While quantum field theory has given us a successful description of physical phenomena at many different length scales, almost all computations are currently limited to systems which are weakly-coupled. I will present a new theoretical framework for solving general strongly-interacting physical systems, which uses universal short-distance CFT data to numerically compute long-distance QFT...
In a series of recent works it has become clear that quantum scattering amplitudes can be used to gain useful insights into the dynamics of Kerr black holes. A simple infinite family of three-point amplitudes has been found, which describes the primary gravitational interaction of a black hole with quantum spin s. However, the corresponding family of Compton four-point amplitudes has not yet...
We discuss the phase shift of a light particle moving in an AdS black hole geometry. We investigate the physics for impact parameter values beyond the critical one where the particle does not return to the boundary.
Phases of matter can be subject to various instabilities. I will show that interacting systems with a hydrodynamic regime at late times and long distances are dynamically stable under linear perturbations provided the matrix of static susceptibilities is positive definite and the second law of thermodynamics is obeyed. The argument holds irrespective of boost symmetries, extends to theories...
As an effective field theory, relativistic hydrodynamics is fixed by symmetries up to a set of transport coefficients. In this talk, I will explain how microscopic causality leads to the existence of the hydrohedron: a universal convex geometry in the space of transport coefficients that contains every consistent theory of relativistic transport. I will analytically construct cross-sections of...
The large N expansion yields an asymptotic series. Standard (exponentially suppressed) nonperturbative corrections associated with this series are driven by eigenvalue tunneling. However there are equally relevant exponentially-enhanced nonperturbative-corrections driven by anti-eigenvalue tunneling, which play a key role in describing the asymptotic properties of the large N expansion, as...
I will discuss logarithmic corrections to various CFT partition functions in the context of the AdS_4/CFT_3 correspondence for theories arising on the worldvolume of M2-branes. I will use four-dimensional gauged supergravity and heat kernel methods to derive general expressions for the logarithmic corrections to the gravitational on-shell action or black hole entropy for a number of different...
