On the uniqueness of the moonshine vertex operator algebra

Mathematics – Quantum Algebra

Scientific paper

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23pages

Scientific paper

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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