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On the uniqueness of the moonshine vertex operator algebra

Chongying Dong·Robert L. Griess Jr.·Ching Hung Lam
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Abstract

It is proved that a vertex operator algebra is isomorphic to the moonshine VOA of Frenkel-Lepowsky-Meurman if it satisfies certain conditions. Our two main theorems establish a weak version of the FLM uniqueness conjecture for the moonshine vertex operator algebra. We believe that these are the first such results.

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Chongying Dong, Robert L. Griess Jr., Ching Hung Lam. 2005-06-16. On the uniqueness of the moonshine vertex operator algebra. https://arxiv.org/abs/math/0506321

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