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On Spinor Vertex Operator Algebras and Their Modules

โœ Scribed by Xiaoping Xu

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
351 KB
Volume
191
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

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.

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## DEDICATED TO PROFESSOR MICHIO SUZUKI ON HIS 70TH BIRTHDAY โฃqD D ลฝ . Condition S M = U is irreducible for any irreducible M -mod-โฃqD D ule U. Here M = U denotes a fusion product or a tensor product. They โฃqD both are the same in this paper since we will treat only rational VOAs. As