A construction of vertex operator algebra . I ( The moonshine VOA )
نویسنده
چکیده
We study a simple vertex operator algebra (VOA) V containing a set of mutually orthogonal simple conformal vectors ei : i = 1, ..., n with central charge 12 such that the sum is the Virasoro element. In [M3], the author showed that it defines two mutually orthogonal binary linear codes D and S. We prove that V is the only irreducible V -module if D = S⊥. Applying the way of constructing VOA given in [M3], we give a new construction of the moonshine VOA V ♮. It easily comes from the tensor product of three VOA VE8 of lattice of type E8. We observe that the orbifold construction from VE8 coincides with the change of sets of coordinate conformal vectors in Hamming code sub VOA VH8 of VE8 in this study.
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