Abelian duality in topological field theory

Time：2023-04-11 Tue 09:00-11:00

Venue：Venue:1129B ZOOM:954 2993 2868（PW: 588289）

Organizer：Hao Zheng

Speaker：Yu Leon Liu Harvard University

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.

DATEApril 11, 2023

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