English

A characterization of the moonshine vertex operator algebra by means of Virasoro frames

Quantum Algebra 2007-05-23 v1

Abstract

In this article, we show that a framed vertex operator algebra V satisfying the conditions: (1) V is holomorphic (i.e., V is the only irreducible V-module); (2) V is of rank 24; and (3) V_1=0; is isomorphic to the moonshine vertex operator algebra constructed by Frenkel-Lepowsky-Meurman.

Keywords

Cite

@article{arxiv.math/0609718,
  title  = {A characterization of the moonshine vertex operator algebra by means of Virasoro frames},
  author = {Ching Hung Lam and Hiroshi Yamauchi},
  journal= {arXiv preprint arXiv:math/0609718},
  year   = {2007}
}

Comments

10 pages, no figure