Event at Galileo Galilei Institute


Topological properties of gauge theories and their applications to high-energy and condensed-matter physics

Aug 23, 2021 - Oct 01, 2021

Apply (deadline: Jun 30, 2021 )
Note: you are applying after the deadline

Many remarkable properties of gauge theories rely on the topology of field configurations and/or ambient spacetime and are connected with quantum anomalies and nonperturbative excitations. These properties, often exact, have many implications in the physics of fundamental interactions, condensed matter systems and statistical mechanics models. They also account for a large part of the investigations in string theory, and combined with supersymmetry have led to exact solutions of low-energy theories and the discovery of duality relations between supersymmetric gauge theories. Meanwhile, a renewed interest in topological aspects has emerged from condensed matter physics, through the study of topological phases of quantum matter. The effective field theories for these systems are not of the usual Landau-Ginzburg-Higgs type, rather, they are described by topological gauge theories. The goal of this GGI activity is to bring together theoreticians of different backgrounds, in condensed matter, high energy and mathematical physics, with the belief that interdisciplinary approaches can lead to substantial progress in many directions.

* Anomalies of quantum field theories
* Generalized symmetries
* Topological aspects of quantum states in condensed matter
* (Supersymmetric) dualities in (2+1)-dimensions
* Time-reversal symmetry and 4d theta-terms

Weekly main topics
* Weeks 1-2: topological phases of matter
* Weeks 3-4: symmetries and anomalies
* Weeks 5-6: dualities, supersymmetry, bosonization

Weekly review lectures
We plan to have two-hour reviews on the topics of each week. The tentative list includes:
* w1 - Shinsei Ryu (Princeton) Topological states of matter
* w2 - Alex Turzillo (MPI Garching) The zoo of topological phases
* w3 - Kantaro Ohmori (Tokyo)
* w4 - Dam Tan Son (Chicago)
* w5 - Riccardo Argurio (ULB, Bruxelles)
* w5 - Shiraz Minwalla (TIFR Mumbai) Chern-Simons matter theories at large N

F. Benini (SISSA, Trieste), A. Cappelli (INFN, Florence), Z. Komargodski (Stony Brook University), S. Ryu (University of Chicago), A. Vishwanath (Harvard, Cambridge), P. Wiegmann (University of Chicago)

Local organizer
Claudio Bonanno and Alessio Caddeo (GGI)



The activity will be both online and in-person.
Seminars and discussion sessions will be broadcast on the GGI zoom channel and recorded.
Participation in-person is limited to 25 people per week. Participation is subjected to the Italian COVID regulations, please see the official web site
Applicants will receive an answer within the first half of July.
Online participation is free, nonetheless please apply here above for receiving the zoom credentials (past the deadline too).