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

Toshiyuki Abe

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

Quantum Algebra 2007-05-23 v1 Representation Theory

Authors: Toshiyuki Abe

Abstract

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.

Keywords

vertex operator algebra positive definite even lattice fixed point subalgebra weak modules complete reducibility

Cite

@article{arxiv.math/0311210,
  title  = {Rationality of the vertex operator algebra $V_L^+$ for a positive definite even lattice $L$},
  author = {Toshiyuki Abe},
  journal= {arXiv preprint arXiv:math/0311210},
  year   = {2007}
}

Comments

30 pages, No figure

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