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arxiv: math/0609718 · v1 · submitted 2006-09-26 · 🧮 math.QA

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

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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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