Workshop


23 Aug, 2021 - 01 Oct, 2021

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

Abstract

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.

Topics

* 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:
* w1 - Shinsei Ryu (Princeton) Topological states of matter and quantum entanglement
* w2 - Alex Turzillo (MPI Garching) The zoo of topological phases
* w3 - Kantaro Ohmori (Tokyo) On non-invertible symmetries
* w3 - Cenke Xu (Santa Barbara) Potential experimental platforms for fractons, type I and II
* w4 - Dam Tan Son (Chicago) Effective field theory of the fractional quantum Hall effect
* w5 - Riccardo Argurio (ULB, Bruxelles) Phases and dualities of 3d gauge theories and their brane constructions
* w6 - Shiraz Minwalla (TIFR Mumbai) Chern-Simons matter theories at large N

Organizers

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 organizers

Claudio Bonanno and Alessio Caddeo (GGI)

Contact

francesco.benini@sissa.it

Website:

Related events
Poster session

The participants who would like to present a poster are kindly invited to send an email with the title and a short abstract to alice.bernamonti@unifuit before May 22, specifying for which week of the workshop. Since a limited number of panels is available, the organizers will select the posters shortly after the deadline.

week 3

Monday Tuesday Wednesday Thursday Friday
11:30 - 12:30 Tomasevic Newenfeld Collin-Ellerin Caceres
13:00 - 14:30 lunch lunch lunch lunch lunch
14:30 - 15:30 Sorce Emparan
  • Elena Caceres: 'On Sparse SYK, wormholes, and chaos"
  • Sean Colin-Ellerin: "Bootstrapping wuantum extremal surfaces
  • Roberto Emparan: "Black tsunamis and naked singularities in AdS'
  • Dominik Neuenfeld: "Bounds on gravitational brane couplings and tomography in AdS3 black hole microstates"
  • Jonathan Sorce: "Bulk causality from boundary entanglement: the connected wedge theorem revisited"
  • Marija Tomasevic: 'ds through holography

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Talks
Date Speaker Title Type Useful Links
23 Aug, 2021 - 14:30-15:00 Welcome Introduction
23 Aug, 2021 - 15:00-16:00 Ady Stern (Weizmann Institute, Israel) Topology vs. interaction: the strong, the weak and the fragile Seminar
24 Aug, 2021 - 15:00-17:00 Shinsei Ryu (Princeton University) Topological phases of matter and quantum entanglement Lecture
25 Aug, 2021 - 15:00-16:00 Djordje Radicevic (Brandais University) Lattice precursors of Chern-Simons theories Seminar
26 Aug, 2021 - 15:00-16:00 Sergej Moroz (TUM, Garching) Two-dimensional Z2 gauge theory coupled to single-component fermion matter: from topological order to confinement and fractons Seminar
26 Aug, 2021 - 16:00-17:00 Yizhi You (Princeton University) Plaquette-dimer liquid beyond renormalization Seminar
27 Aug, 2021 - 15:00-16:00 Giandomenico Palumbo (Dublin Institute for Advanced Studies) Non-Abelian Higgs fields in the momentum space of multi-band topological phases Seminar
30 Aug, 2021 - 15:00-16:00 Fiona Burnell (University of Minnesota) Higher rank chirality in semi-metallic systems Seminar
31 Aug, 2021 - 15:00-17:00 Alex Turzillo (Max-Planck Garching) SPT phases and beyond Lecture
01 Sep, 2021 - 15:00-16:00 Christopher Mudry (Paul Scherrer Institute, Zurich) Lieb-Schultz-Mattis type theorems for Majorana models with discrete symmetries Seminar
01 Sep, 2021 - 16:00-17:00 Glenn Wagner (Oxford University) Kekule spiral order in twisted bilayer graphene Seminar
02 Sep, 2021 - 15:00-16:00 Michele Burrello (Niels Bohr Institute, Copenhagen) Discrete Abelian lattice gauge theory on a ladder geometry Seminar
02 Sep, 2021 - 16:00-17:00 Domenico Giuliano (University of Calabria) Violation of the Wiedemann-Franz law and multi-particle scattering in the Topological Kondo model Seminar
03 Sep, 2021 - 15:00-16:00 Carlos Hoyos (Oviedo University) Effective action for anisotropic quantum Hall states Seminar
06 Sep, 2021 - 12:30-13:00 Welcome Introduction
06 Sep, 2021 - 15:00-16:00 Pavel Putrov (ICPT, Trieste) Spin-cobordisms, surgeries and fermionic modular bootstrap Seminar
06 Sep, 2021 - 16:00-17:00 John Sous (Columbia University, New York) Fracton conservation laws in hole-doped antiferromagnet Seminar
07 Sep, 2021 - 10:00-12:00 Kantaro Ohmori (Tokyo University) On non-invertible symmetries Seminar
08 Sep, 2021 - 15:00-16:00 Parameswaran Nair (City College, CUNY, New York) Topological terms and diffeomorphim anomalies in fluid dynamics Seminar
08 Sep, 2021 - 16:00-17:00 Dimitra Karabali (Lehman College, CUNY, New York) Entanglement entropy for integer quantum Hall effect in two and higher dimensions Seminar
09 Sep, 2021 - 16:00-18:00 Cenke Xu (University of California, Santa Barbara) Potential experimental platforms for fractons, type I and II Seminar
10 Sep, 2021 - 15:00-16:00 Jackson Fliss (University of Amsterdam) Entanglement and dipolar quantum Hall physics of tensor Chern-Simons theory Seminar
13 Sep, 2021 - 12:30-13:00 Welcome Introduction
13 Sep, 2021 - 15:00-16:00 Titus Neupert (University of Zurich) Emergent Black Hole Dynamics in Critical Floquet Systems Seminar
14 Sep, 2021 - 15:00-17:00 Dam Tan Son (University of Chicago) Effective field theory of the fractional quantum Hall effect Seminar
15 Sep, 2021 - 15:00-16:00 Daniel Brennan (University of Chicago) The Callan Rubakov Effect and Higher Charge Monopoles Seminar
16 Sep, 2021 - 15:00-16:00 Eduardo Fradkin (University of Illinois, Urbana) Duality in Condensed Matter and High Energy Physics Seminar
16 Sep, 2021 - 16:00-17:00 Joseph Maciejko (University of Alberta, Edmonton) Hyperbolic band theory Seminar
17 Sep, 2021 - 15:00-16:00 Diego Delmastro (Perimeter Institute) Infrared phases of 2d QCD Seminar
20 Sep, 2021 - 12:30-13:00 Welcome Introduction
20 Sep, 2021 - 15:00-16:00 Jeremias Aguilera-Damia (Centro Atomico Bariloche, Argentina) Non-Fermi Liquid Quantum Critical Points in 2+1 dimensions Seminar
20 Sep, 2021 - 16:00-17:00 Matteo Bertolini (SISSA, Trieste) The Octagon and the Non-Supersymmetric String Landscape String Landscape Seminar
21 Sep, 2021 - 10:00-12:00 Riccardo Argurio (ULB, Bruxelles) Phases and dualities of 3d gauge theories and their brane constructions Seminar
22 Sep, 2021 - 15:00-16:00 Pietro Benetti Genolini (DAMTP, Cambridge) Instantons, symmetries and anomalies in five dimensions Seminar
23 Sep, 2021 - 15:00-16:00 Lorenzo Di Pietro (University of Trieste) Conformal boundary conditions for free fields Seminar
23 Sep, 2021 - 16:00-17:00 Alexander Abanov (Stony Brook University) Anomalous helicity non-conservation in Euler fluids Seminar
24 Sep, 2021 - 15:00-16:00 Matthew Buican (Queen Mary University, London) Some Galois Actions in Topological Quantum Field Theory Seminar
27 Sep, 2021 - 12:30-13:00 Welcome Introduction
27 Sep, 2021 - 15:00-16:00 Takuya Okuda (University of Tokyo) 't Hooft line operators in N=2 supersymmetric gauge theories Seminar
27 Sep, 2021 - 16:00-17:00 Christian Copetti (SISSA, Trieste) Condensing and factorizing in low dimensional gravity Seminar
28 Sep, 2021 - 15:00-17:00 Shiraz Minwalla (TIFR, Mumbai) Chern-Simons-matter theories at large N Seminar
29 Sep, 2021 - 15:00-16:00 Fabio Franchini (Ruder Boskovic Institute, Zagreb) The frustration of being odd Seminar
29 Sep, 2021 - 16:00-17:00 Srinivas Raghu (Stanford University) Quantum Hall transitions with interactions and disorder: superuniversality and dynamical scaling Seminar
30 Sep, 2021 - 15:00-16:00 Paul Wiegmann (University of chicago) Hydrodynamics of fractional Hall states as a representation of area-preserving diffeomorphisms Seminar
30 Sep, 2021 - 16:00-17:00 Michael Mulligan (University of California, Riverside) Disentangling topological states with the entanglement negativity Seminar
01 Oct, 2021 - 11:30-12:30 Marco Bochicchio (INFN and Univ. of Rome, La Sapienza) Nonperturbative renormalization in large-N QCD-like theories and topological strings Seminar
01 Oct, 2021 - 15:00-16:00 Yasunori Lee (IPMU, Tokyo) Matching higher symmetries across Intriligator-Seiberg duality Seminar
Materials