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Condensed Matter Seminars
Condensed Matter
Friday, March 18, 2016
1:00 PM
Physics Building, Room 313
Note special date.
Note special time.

Xiao Chen
[Host: Jeffrey Teo]
University of Illinois at UrbanaChampaign
"Gauging and Orbifolding the topological phases in (2+1) and (3+1) dimensions"

ABSTRACT:
Topological phases of matter are commonly equipped with global symmetries, such as electricmagnetic duality in gauge theories and bilayer symmetry in fractional quantum Hall states. Gauging these symmetries into local dynamical ones is one way of obtaining exotic phases from conventional systems. We first study this using the bulkboundary correspondence in the (2+1) dimensional topological phases and orbifolding the (1+1) dimensional edge described by a conformal field theory (CFT). Our procedure puts twisted boundary conditions into the partition function, and predicts the fusion, spin and braiding behavior of anyonic excitations after gauging. We demonstrate this for the twofoldsymmetric D(Z_N ) quantum double model, SU(3)_1, and the S_3symmetric SO(8)_1 state. Later on, we generalize this idea to (3+1) dimensional topological phases and study the bulkboundary correspondence there




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