On Spinor Vertex Operator Algebras and Their Modules Original Research Article

In this paper, we first present a generator theorem and introduce an asymmetric tensor of two colored vertex operator superalgebras with the same grading and supermap. Then we give axioms which characterize a class of vertex operator superalgebras constructed from Clifford algebras. In particular, we are able to give a shorter argument for the Jacobi identity than the existing proofs by using elements analogous to coherent states and our generator theorem. Using the new tensor and the same techniques, we classify twisted irreducible modules of these algebras in a constructive way.