[Seminar] Anomalies in (2+1)D Symmetry-Enriched Topological Phases

Speaker

Dr. Daniel Bulmash / University of Maryland, College Park

Title

Anomalies in (2+1)D Symmetry-Enriched Topological Phases

Abstract

In (2+1)D phases of matter, anyons can exist and can carry fractional quantum numbers under a global symmetry. Such a phase is called a symmetry-enriched topological phase (SET); some SETs cannot exist in (2+1)D and must instead exist on the surface of a higher-dimensional system, that is, they have a ‘t Hooft anomaly. We show by explicit construction that every (2+1)D bosonic and fermionic SET can exist on the surface of some (3+1)D symmetry-protected topological phase and explain how to use our construction to directly calculate the ‘t Hooft anomaly of the SET.

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Meeting ID: 935 1812 4836
Passcode: Please contact megumi.ikeda@oist.jp