, University of Illinois at Urbana-Champaign
[Host: Jeffrey Teo]
Topological phases of matter are commonly equipped with global symmetries, such as electric-magnetic 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 bulk-boundary 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 twofold-symmetric D(Z_N ) quantum double model, SU(3)_1, and the S_3-symmetric SO(8)_1 state. Later on, we generalize this idea to (3+1) dimensional topological phases and study the bulk-boundary correspondence there
Condensed Matter Seminar
Friday, March 18, 2016
Physics Building, Room 313
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