peaker：Bin Gui（Tsinghua University ）

Time：2022-07-04, 15:00

Location：Tencent Meeting ID：626-540-700（No Password）

Abstract:

Let G be a finite subgroup of the symmetric group S_n acting by permutation on U, the tensor product $V^{\otimes n}$ of n identical VOAs $V$. Due to Barron-Dong-Mason, one can construct G-twisted modules of U from untwisted V-modules. In this talk, we extend this to the construction of genus-0 conformal blocks (i.e. intertwining operators) associated to G-twisted U-modules from possibly higher genus conformal blocks associated to untwisted V-modules. The genus can be explicitly calculated using Riemann-Hurwitz formula. As an application, when V is CFT-type, rational, and C_2 cofinite, the fusion rules among G-twisted U-modules are determined in terms of those among untwisted V-modules.

Reference: arXiv:2111.04662