Скачать или смотреть Torsion and geometric anomalies in (non-relativistic) topological matter

Speaker: Jaakko Nissinen

Abstract: I discuss geometric anomalies in topological matter that extend the definition of relativistic anomalies in terms of gravity to situations where non-relativistic effective geometry and symmetries, in addition to topology, play a key role. Such anomalies can be understood based on chiral gravitational anomalies with torsion and vorticity, the former especially 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. 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.