Fusion products of twisted modules in permutation orbifolds

2019/06/28 by Dong, Chongying, Li, Haisheng, Xu, Feng +1
#17B69 #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1907.00094

Abstract

Let V be a vertex operator algebra, k a positive integer and σ a permutation automorphism of the vertex operator algebra V^{⊗ k}. In this paper, we determine the fusion product of any V^{⊗ k}-module with any σ-twisted V^{⊗ k}-module.

Related

• Fusion Products of Twisted Modules in Permutation Orbifolds: II
• Permutation orbifolds and associative algebras
• Twisted modules for tensor product vertex operator superalgebras and permutation automorphisms of odd order
• Twisted Verlinde formula for vertex operator algebras
• Permutation orbifolds of vertex operator superalgebra and associative algebras