Abstract The Sachdev–Ye–Kitaev model and two-dimensional dilaton gravity have recently
been attracting increasing attention of the high-energy and condensed-matter physics …

A bstract We argue that the late time behavior of horizon fluctuations in large anti-de Sitter
(AdS) black holes is governed by the random matrix dynamics characteristic of quantum …

A comprehensive overview of holographic methods in quantum matter, written by pioneers
in the field. This book, written by pioneers in the field, offers a comprehensive overview of …

A bstract We propose that a class of new topologies, for which there is no classical solution,
should be included in the path integral of three-dimensional pure gravity, and that their …

We revisit two-dimensional holography with the Sachdev-Ye-Kitaev models in mind. Our
main result is to rewrite a generic theory of gravity near a two-dimensional anti-de Sitter …

We compute the thermodynamic properties of the Sachdev-Ye-Kitaev (SYK) models of
fermions with a conserved fermion number Q. We extend a previously proposed Schwarzian …

A bstract We obtain exact expressions for a general class of correlation functions in the 1D
quantum mechanical model described by the Schwarzian action, that arises as the low …

A bstract We present the exact solution for the scattering problem in the flat space Jackiw-
Teitelboim (JT) gravity coupled to an arbitrary quantum field theory. JT gravity results in a …

We discuss a supersymmetric generalization of the Sachdev-Ye-Kitaev (SYK) model. These
are quantum mechanical models involving N Majorana fermions. The supercharge is given …

These are lecture notes based on a series of lectures presented at the XIII Modave Summer
School in Mathematical physics aimed at PhD students and young postdocs. The goal is to …