Modularity on vertex operator algebras arising from semisimple primary vectors

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

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