Intertwining Operators for Twisted Modules of a Colored Vertex Operator Superalgebra Original Research Article

In this paper we introduce intertwining operators for twisted modules of a colored vertex operator superalgebra, which are natural generalizations of those for untwisted modules. In particular, we construct adjoint intertwining operators as in the untwisted case, which were mathematically introduced by Frenkel, Huang, and Lepowsky. The fusion rules for certain twisted modules of a colored vertex operator superalgebra associated with an integral lattice are found.