Tensor Models and Holography

Liste des Contributions

1. Welcome address

06/02/2023 09:20

3. Jackiw-Teitelboim Quantum Gravity from First Principles

Frank Ferrari (Université Libre de Bruxelles and International Solvay Institutes)

06/02/2023 09:30

2. Emergent Gravity, hidden sectors and TT Deformations

Elias Kiritsis (APC and University of Crete)

06/02/2023 11:00

We investigate emergent gravity extending the paradigm of the AdS/CFT correspondence. The emergent graviton is associated to the (dynamical) expectation value of the energy-momentum tensor. We derive the general effective description of such dynamics, and apply it to the case where a hidden theory generates gravity that is coupled to the Standard Model. In the linearized description,...

4. Thermodynamics and conformal operators of the Sachdev-Ye-Kitaev model [IN REMOTE]

Grigory Tarnopolsky

06/02/2023 14:30

Quantum mechanical models with random interactions have an infinite number of bilinear operators,
the scaling dimensions of which can be computed explicitly in the large N limit.
The lowest dimension operators play an important role in thermodynamical
properties of these models and define the behavior of various
correlation functions in the infrared limit.
In this talk I’ll discuss...

5. Group Invariant States as Quantum Many-Body Scars [IN REMOTE]

Igor Klebanov

06/02/2023 16:00

6. Holography of Information in AdS/CFT

Robert de Mello Koch

07/02/2023 09:30

The principle of the holography of information states that in a theory of quantum gravity a copy of all the information available on a Cauchy slice is also available near the boundary of the Cauchy slice. This redundancy in the theory is already present at low energy. In the context of the AdS/CFT correspondence, this principle can be translated into a statement about the dual conformal field...

7. Higher-spin gravity in two dimensions

Xavier Bekaert (Université de Tours)

07/02/2023 11:00

A non-abelian higher-spin theory in two dimensions is proposed, describing an infinite multiplet of massive scalar fields, with fine-tuned masses, interacting with infinitely many topological gauge fields together with their dilaton-like partners. The corresponding action functional is of BF-type and generalizes the known higher-spin extension of Jackiw-Teitelboim gravity. Finally, we discuss...

8. From JT to 3d pure gravity

Thomas Mertens (Ghent University)

07/02/2023 14:30

Taking inspiration from our understanding of 2d JT gravity, we develop aspects of 3d pure gravity. In particular, we propose an effective model of 3d pure gravity and discuss its factorization across entangling surfaces. Finally, we highlight some differences between gravity in its metric formulation and its first order gauge theoretic formulation, focussing on the underlying algebraic...

9. Differential Equations for the Distribution of Ground States in JT gravity [IN REMOTE]

Clifford Johnson

07/02/2023 16:00

10. Old and new on the O(N)^3 tensor field theory

Razvan Gurau

08/02/2023 09:30

The O(N)^3 model is one of the most studied tensor field theories with numerous interesting regimes and non trivial features. Its interest resides in the promise that one can use it as a playground for studying strongly interacting field theories. In this talk I will present a personal selection of (old, new and brand new) results on this model.

11. Double scaling limits of various tensor models (the O(N)^3-invariant tensor model and a couple more)

Adrian Tanasa (Univ. Bordeaux)

08/02/2023 11:00

One of the most celebrated tools in the study of matrix models is the double scaling limit mechanism (known to be related to the continuuos limit of these models).
In this talk I will first exhibit the implementation of the double scaling limit mechanism for various quartic tensor models, such as the multi-orientable tensor model and the O(N)³-invariant tensor model. In the last part of the...

16. Knot, matrix and tensor models...melon or meron?

Shinobu Hikami (OIST)

09/02/2023 09:30

The Gaussian mean of $N\times N$ Hermitian matrix provides a knot configuration
in the replica limit N to 0 (arXiv:2301.06003). The classical knot is related to
Chern-Simons gauge theory, which shows two edges
of Seifert surface are bounded, similar to two merons bounded into instanton.
Higher dimensional knot (2-knot) consists of double Chern-Simons gauge field, which leads to ...

13. Effective low-temperature holographic theories

Blaise Goutéraux (Ecole Polytechnique)

09/02/2023 11:00

Gauge/gravity duality allows us to construct exact renormalization group flows (sometimes only numerically) by turning on relevant deformations of ultraviolet conformal field theories with a gravitational dual. However, identifying the corresponding effective degrees of freedom at low temperatures and writing down an effective theory for them remains a non-trivial task. I will describe recent...

14. An application of melonic CFTs: The F-theorem

Sabine Harribey (CPHT Ecole Polytechnique - Heidelberg University)

09/02/2023 14:30

According to the F-theorem, the free energy on the sphere for a three-dimensional CFT decreases along the renormalization group flow. I will present here a generalization of this theorem to the long-range bosonic O(N)^3 tensor model. This model is a melonic CFT which displays four lines of fixed points at large N, parametrized by a purely imaginary coupling. It was non-trivial to show that the...

15. SYK and turbulence [IN REMOTE]

Vladimir Rosenhaus

09/02/2023 16:00

18. Partition algebras and large N permutation symmetry in matrix quantum mechanics

Sanjaye Ramgoolam

10/02/2023 09:30

Algebraic techniques based on Schur-Weyl duality have played an important role in the combinatorics of observables and correlators in single and multi-matrix models, of relevance to the AdS/CFT holographic dictionary. These techniques have recently been applied to study the implications of manifest permutation symmetry, for the state space and dynamics of quantum mechanical systems of matrices...

17. Random Tensors, Loop Vertex Expansion and Their Cumulants

Vincent Rivasseau (Université Paris-Saclay)

10/02/2023 11:00

In the first part of my talk I shall present some generalities about random tensor models in relation with quantum gravity. In the second part I introduce the loop vertex expansion which is a technique of constructive field theory. In the third part I construct cumulants of a $U(N)$ vector model perturbed by a quartic term. This model has a non-trivial covariance to allow for renormalisation,...

12. Conditions for existence of islands of entanglement

Marika Taylor (University of Southampton)

In the last few years there has been considerable interest in the use of islands of entanglement to explain the recover of information during black hole evaporation. Many toy models for these phenomena use two-dimensional JT gravity, which should be dual to a one-dimensional theory with SYK type features. In this talk we will explore the emergence of islands in higher dimensions, analaysing...