Embeddings of Vertex Operator Algebras Associated to Orthogonal Affine Lie Algebras

作者：Perse Ozren^*

来源：Communications in Algebra, 2010, 38(5): 1761-1778.

DOI：10.1080/00927870903015200

• Admissible module
• Affine Kac-Moody algebra
• Conformal embedding
• Vertex operator algebra

Let [image omitted] (resp., [image omitted]) be the simple vertex operator algebra associated to affine Lie algebra of type [image omitted] (resp., [image omitted]) with the lowest admissible half-integer level [image omitted]. We show that [image omitted] is a vertex subalgebra of [image omitted] with the same conformal vector. For =4, [image omitted] is a vertex subalgebra of three copies of [image omitted] contained in [image omitted], and all five of these vertex operator algebras have the same conformal vector.

• 出版日期2010