English

Modularity on vertex operator algebras arising from semisimple primary vectors

Quantum Algebra 2007-05-23 v4

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

Cite

@article{arxiv.math/0209026,
  title  = {Modularity on vertex operator algebras arising from semisimple primary vectors},
  author = {Hiroshi Yamauchi},
  journal= {arXiv preprint arXiv:math/0209026},
  year   = {2007}
}

Comments

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