MS Seminar (Mathematics - String Theory)

Speaker: Justin Kaidi (SCGP, Stony Brook)
Title: Obstructions to Gapped Boundaries in (2+1)d TQFT
Date (JST): Thu, Jul 29, 2021, 13:15 - 14:30
Place: Zoom
Related File: 2680.pdf
Abstract: Not all 2+1-dimensional TQFTs admit topological boundary conditions. A familiar necessary, but not sufficient, condition for the existence of a topological boundary is the vanishing of the chiral central charge (mod 8). In this talk I will discuss generalizations of the chiral central charge known as ``higher” central charges. These quantities can be used to give necessary and sufficient conditions for the existence of topological boundary conditions for Abelian TQFTs, providing a highly-computable alternative to conditions known previously in the literature.