Modularity on vertex operator algebras arising from semisimple primary vectors

Details Modularity on vertex operator algebras arising from semisimple primary vectors Modularity on vertex operator algebras arising from semisimple primary vectors

2002-09-03

arxiv.org/abs/math/0209026v4

Mathematics

Quantum Algebra

Latex2e 24 pages, a reference is revised v4: we add a section on abelian coset construction

Scientific paper

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.

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