BIMSA > Category and Topological Order Seminar The Modular Extension Characterization of SPT/SET phases
The Modular Extension Characterization of SPT/SET phases
Organizer
Hao Zheng
Speaker
Tian Lan
Time
Tuesday, December 14, 2021 1:30 PM - 3:00 PM
Venue
1131
Online
Tencent 776 6095 6243 ()
Abstract
I will discuss the structures of "symmetry" and "stacking" in quantum phases, and correspondingly, in braided fusion categories. We are particularly interested in the 2+1D symmetry protected topological phases, with bosonic finite unitary onsite symmetry G, which under stacking form the third cohomology group of G valued in U(1). This case is simple but nontrivial enough for us to pin down the correct categorical description of topological phases with symmetry, where the notion of minimal modular extension is an essential ingredient.