Topological invariants of gapped states of quantum spin systems

Anton Kapustin

California Institute of Technology

I am a theoretical physicist. In the past I have worked on particle physics, supersymmetric field theory, topological field theory, and string theory. Currently I am interested in mathematical aspects of condensed matter physics, including topological phases of matter, theory of transport, and hydrodynamics.

I obtained my undergraduate degree in physics in 1993 from the Moscow State University and a Ph.D. in physics in 1997 from the California Institute of Technology. After spending 1997-2001 at the Institute for Advanced Study, Princeton, I joined the faculty of the California Institute of Technology.

Time

Wed. & Fri., 13:30-15:05

Sept. 11-Sept. 27, 2024

Venue

Lecture Hall C548

Shuangqing Complex Building A

Description

Recently, a new approach to defining invariants of gapped states of quantum spin systems was developed. In many cases allows to justify the predictions made using Topological Quantum Field Theory.I will provide a pedagogical introduction to these developments.

Prerequisite

Analysis, group theory, quantum statistical mechanics

Reference

https://arxiv.org/abs/2201.01327, https://arxiv.org/abs/2305.06399

Target Audience

Graduate students and advanced undergraduate students

Teaching Language

English