BIMSA > Category and Topological Order Seminar Category and Topological Order Seminar Abelian duality in topological field theory
Abelian duality in topological field theory
Organizer
Hao Zheng
Speaker
Yu Leon Liu
Time
Tuesday, April 11, 2023 9:00 AM - 11:00 AM
Venue
1129B
Abstract
We prove a topological version of abelian duality where the gauge groups are finite abelian. The theories are finite homotopy TFTs, topological analogues of the p-form U(1) gauge theories and a generalization of abelian Dijkgraaf-Witten theories. We extend such duality to a subset of higher-group symmetries, which goes by the name of π-finite spectra. Furthermore, I will discuss the relation between this duality and gauging/ungauging in 2, 3 dimensions.