Institute for Condensed Matter Theory Seminar: "Torsion and geometric anomalies in non-relativistic topological matter"
- Event Type
- Seminar/Symposium
- Sponsor
- The Institute for Condensed Matter Theory
- Date
- Nov 29, 2021 12:00 pm
- Speaker
- Jaakko Nissinen, Aalto University
- Contact
- Janice Benner
- jbenner@illinois.edu
- Views
- 63
- Originating Calendar
- Physics - The Anthony J Leggett Institute for Condensed Matter Theory Seminar
I discuss geometric anomalies in topological matter that extend the definition of topological (and geometric) phases in terms of field theoretic anomalies and bulk-boundary correspondences to situations where non-relativistic geometry and symmetries, in addition to topology, play a key role. Such anomalies can be understood based on chiral gravitational anomalies with torsion, controversial in relativistic field theory, and their suitable generalizations to non-relativistic systems.
As examples I discuss anomalous chiral hydrodynamics and torsional anomalies in chiral Weyl superfluids, superconductors and semimetals, as well as topological ``translational" responses in gapped crystalline insulators, including subsystem and higher-order multipole insulators.
In contrast to usual relativistic anomalies, the discussed geometric anomalies are "unquantized" and feature properties of the momentum space geometry in terms of UV-IR dependencies.