English

Lattice subalgebras of strongly regular vertex operator algebras

Quantum Algebra 2011-10-05 v1 Mathematical Physics math.MP

Abstract

We prove a sharpened version of a conjecture of Dong-Mason about lattice subalgebras of a strongly regular vertex operator algebra VV, and give some applications. These include the existence of a canonical conformal subVOA WGZVW\otimes G\otimes Z \subseteq V, and a generalization of the theory of minimal models.

Keywords

Cite

@article{arxiv.1110.0544,
  title  = {Lattice subalgebras of strongly regular vertex operator algebras},
  author = {Geoffrey Mason},
  journal= {arXiv preprint arXiv:1110.0544},
  year   = {2011}
}