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 …

An outstanding open issue in our quest for physics beyond Einstein is the unification of
general relativity (GR) and quantum physics. Loop quantum gravity (LQG) is a leading …

Generalized symmetries (also known as categorical symmetries) is a newly developing
technique for studying quantum field theories. It has given us new insights into the structure …

We discuss aspects of global and gauged symmetries in quantum field theory and quantum
gravity, focusing on discrete gauge symmetries. An effective Lagrangian description of Z p …

A bstract We consider coupling an ordinary quantum field theory with an infinite number of
degrees of freedom to a topological field theory. On\(\mathbb {R}\) d the new theory differs …

Quantum gravity poses the problem of merging quantum mechanics and general relativity,
the two great conceptual revolutions in the physics of the twentieth century. The loop and …

6.1. 3. Evaluation of the partition function 252 A. 2. Supersymmetric quantum mechanics 319
6.1. 4. Evaluation ofthe observables: knot A. 3. Topological sigma models 320 invariants 255 …

In Refs. 1 and 2, it was proposed that the quantum theory of gravity could take the form of a
very special type of discrete model on a triangulated 4-manifold, which has the property that …

The idea of this book originated from two series of lectures given by us at the Physics
Department of the Catholic University of Petr6polis, in Brazil. Its aim is to present an …

Symmetry is a powerful tool for studying dynamics in QFT as they provide selection rules,
constrain RG flows, and allow for simplified dynamics. Currently, our understanding is that …