We review recent developments in Jackiw–Teitelboim gravity. This is a simple solvable
model of quantum gravity in two dimensions (that arises eg from the s-wave sector of higher …

In three spacetime dimensions, general relativity becomes a topological field theory, whose
dynamics can be largely described holographically by a two-dimensional conformal field …

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 The phase space of general relativity in a finite subregion is characterized by edge
modes localized at the codimension-2 boundary, transforming under an infinite-dimensional …

This thesis presents the state of the art in the study of Bondi-Metzner-Sachs (BMS) symmetry
and its applications in the simplified setting of three dimensions. It focuses on presenting all …

Page 1 BORIS A. KHESIN ROBERT WENDT Volume 51 Ergebnisse der Mathematik und ihrer
Grenzgebiete 3. Folge A Series of Modern Surveys in Mathematics The Geometry of …

We classify and study defects in 2d Jackiw-Teitelboim gravity. We show these are
holographically described by a deformation of the Schwarzian theory where the …

In this volume readers will find for the first time a detailed account of the theory of symplectic
reduction by stages, along with numerous illustrations of the theory. Special emphasis is …

A universal symmetry algebra organizing the gravitational phase space has been recently
found. It corresponds to the subset of diffeomorphisms that become physical at corners …

These notes are a transcript of lectures given by the author in the XVIII Modave summer
school in mathematical physics. The introduction is devoted to a detailed review of the …