Decomposition of the vertex operator algebra V_{\sqrt{2}A_3}
Quantum Algebra
2007-05-23 v1
Abstract
For vertex operator algebra V_{\sqrt{2}A_l} associated to the even lattice \sqrt{2}A_l which is \sqrt{2} times root lattice of type A_l, it was shown by Dong-Li-Maosn-Norton that the Virasoro vector is a sum of l+1 mutually orthogonal conformal vectors with central charges c_i=1-6/(i+2)(i+3) for i=1,...,l and c_{l+1}=2l/(l+3) and the subalgebra T generated by these vectors is a tensor product of Virasoro vertex operator algebras L(c_i,0). In this paper we determine the decomposition of V_{\sqrt{2}A_3} into the sum of irreducible T-modules completely.
Keywords
Cite
@article{arxiv.math/9903115,
title = {Decomposition of the vertex operator algebra V_{\sqrt{2}A_3}},
author = {Chongying Dong and Ching Hung Lam and Hiromichi Yamada},
journal= {arXiv preprint arXiv:math/9903115},
year = {2007}
}
Comments
10 pages, LaTex