Rationality of the vertex operator algebra $V_L^+$ for a positive definite even lattice $L$

Details Rationality of the vertex operator algebra $V_L^+$ for a positive definite even lattice $L$ Rationality of the vertex operator algebra $V_L^+$ for a positive definite even lattice $L$

2003-11-13

arxiv.org/abs/math/0311210v1

Mathematics

Quantum Algebra

30 pages, No figure

Scientific paper

The lattice vertex operator algebra $V_L$ 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 $V_L^+$, any
$\Z_{\geq0}$-graded weak modules is completely reducible.

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