Decomposition of the vertex operator algebra V_{\sqrt{2}A_3}

Details Decomposition of the vertex operator algebra V_{\sqrt{2}A_3} Decomposition of the vertex operator algebra V_{\sqrt{2}A_3}

1999-03-18

arxiv.org/abs/math/9903115v1

Mathematics

Quantum Algebra

10 pages, LaTex

Scientific paper

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.

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