Rationality of the vertex operator algebra VL+ for a positive definite even lattice L
Toshiyuki Abe
Abstract
The lattice vertex operator algebra VL associated to a positive definite even lattice L has an automorphism of order 2 lifted from -1-isometry of L. We prove that for the fixed point vertex operator algebra VL+, any ≥0-graded weak modules is completely reducible.
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