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,...
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...
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...
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...
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...
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...
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,...
