Bulk/boundary correspondence in topological phases

18 May 2016, 16:00
40m
Room A (GGI)

Room A

GGI

Speaker

Shinsei Ryu (University of Illinois at Urbana-Champaign)

Description

Many of interesting physical (in particular topological) properties of topological phases of condensed matter can be "inferred" from their boundary (end, edge, surface, ..) field theories. In particular, the presence of quantum anomalies in boundary field theories (or lack thereof) provides a way to diagnose bulk topological properties. I will discuss such bulk/boundary correspondence in various examples in (3+1) d with or without bulk topological order. In particular, I will demonstrate that one can extract the so-called modular S and T matrices from boundary theories. These quantities encode important data of the bulk topological order such as braiding statistics of topological excitations in the bulk.

Primary author

Shinsei Ryu (University of Illinois at Urbana-Champaign)

Presentation Materials