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MODULARITY ON VERTEX OPERATOR ALGEBRAS ARISING FROM SEMISIMPLE PRIMARY VECTORS

HIROSHI YAMAUCHI

Graduate School of Mathematics, University of Tsukuba, Ibaraki 305-8571, Japan

https://doi.org/10.1142/S0129167X04002193Cited by:8 (Source: Crossref)

Abstract

In this article, using an idea of the physics superselection principal, we study a modularity on vertex operator algebras arising from semisimple primary vectors. We generalizes the theta functions on vertex operator algebras and prove that the internal automorphisms do not change the genus one twisted conformal blocks.

Keywords:

AMSC: Primary 17B69, Secondary 11F11

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