Decomposition of the vertex operator algebra V_√(2)A3

1999/03/18 by Chongying Dong, Dong, Chongying, Ching Hung Lam +3
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/9903115

10 pages, LaTex

arxiv created 1999/03/18 · arxiv updated 2009/11/30

Abstract

For vertex operator algebra V_√(2)Al associated to the even lattice √(2)A_l which is √(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_√(2)A3 into the sum of irreducible T-modules completely.

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