Orbifold theory and modular extensions
组织者
演讲者
Chongying Dong
时间
2022年11月16日 10:30 至 12:00
地点
1131
线上
Zoom 537 192 5549
(BIMSA)
摘要
Orbifold theory studies a vertex operator algebra V under the action of a finite automorphism group G. The main objective is to understand the module category of fixed point vertex operator subalgebra V^G. This talk will explain how to use the results on modular extensions by Drinfeld-Gelaki-Nikshych-Ostrik and Lan-Kong-Wen to study the module category of V^G. If V is holomorphic then the V^G-module category is braided equivalent to the module category of some twisted Drinfeld double associated to a 3-cocycle in H^3(G,U(1)). This result has been conjectured by Dijkgraaf-Pasquier-Roche. This is a joint work with Richard Ng and Li Ren