Fusion Products of Twisted Modules in Permutation Orbifolds: II

Abstract

Let V be a simple, rational, \(C_{2}\)-cofinite vertex operator algebra of CFT type, and let k be a positive integer. In this paper, we determine the fusion products of twisted modules for \(V^{\otimes k}\) and \(G = \left\langle g \right\rangle \) generated by any permutation \(g \in S_{k}\).