A LEVEL-RANK DUALITY FOR PARAFERMION VERTEX OPERATOR ALGEBRAS OF TYPE A

作者：Lam Ching Hung^*

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 142(12): 4133-4142.

DOI：10.1090/s0002-9939-2014-12167-8

We show that the tensor product of the parafermion vertex operator algebras K(sl(k+1,) n + 1) circle times K(sl(n+1), k + 1) can be embedded as a full subVOA into the lattice VOA V-An circle times A(k). The decomposition of V-An circle times A(k) as a direct sum of irreducible K(sl(k+1), n + 1) circle times K(sl(n+1), k + 1)-modules is also obtained. In addition, we show that the parafermion VOA K(sl(n), k) contains a full subVOA isomorphic to a tensor product of W-algebras W-slk (1, 1). W-slk (1, 2) circle times ... circle times W-slk (1, n - 1).

• 出版日期2014
• 单位中国科学院