A new construction of the moonshine vertex operator algebra over the real number field

Details A new construction of the moonshine vertex operator algebra over the real number field A new construction of the moonshine vertex operator algebra over the real number field

1997-01-13

arxiv.org/abs/q-alg/9701012v3

Mathematics

Quantum Algebra

revised version (We add several things) 66 pages, Latex

Scientific paper

We give a new construction of the moonshine VOA V^{\natural} over the real number field. We proved that V^{\natural} has a positive definite invariant bilinear form and its full automorphism group is the Monster simple group. We also construct an infinite series of meromorphic VOAs whose full automorphism groups are finite. We calculate the trace form on V^{\natural} for some element of the Monster.

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