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

Toshiyuki Abe

arxiv: math/0311210 · v1 · submitted 2003-11-13 · 🧮 math.QA · math.RT

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

Toshiyuki Abe This is my paper

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keywords algebralatticeoperatorvertexdefiniteevenpositiveassociated

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

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