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Modular invariance in rational orbifold theory
时间  Datetime
2017-04-14 10:30 — 11:30 
地点  Venue
Middle Lecture Room
报告人  Speaker
任丽
单位  Affiliation
四川大学
邀请人  Host
蒋启芬
报告摘要  Abstract

Let $V$ be a rational, selfdual, $C_2$-cofinite vertex operator algebra of CFT type, and $G$ a finite automorphism group of $V.$ It is proved that the kernel of the representation of the modular group on twisted conformal blocks associated to $V$ and $G$ given by Dong-Li-Mason is a congruence subgroup. In particular, the $q$-character of each irreducible twisted module is a modular function on the same congruence subgroup.