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

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

2006-09-26

arxiv.org/abs/math/0609718v1

Mathematics

Quantum Algebra

10 pages, no figure

Scientific paper

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.

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