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

1999/12/17 by Chongying Dong, C. Dong, C. H. Lam +6
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/9912146

Latex 14 pages

arxiv created 1999/12/17 · openalex publication_date 1999/12/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine the decomposition of V_√(2)Dl into a sum of irreducible T-modules for general l where D_l is the root lattice of type D_l and T is the tensor product of l+1 Virasoro vertex operator algebras with central charges c₁=1/2, c₂=7/10, c₃=4/5, and c_i=1 for 4≤ i≤ l+1.

Related

• Decomposition of the vertex operator algebra V_√(2)A3
• Vertex operator algebras and the representation theory of toroidal algebras
• A characterization of vertex operator algebras V_Zα⁺: I
• Vertex operator algebras associated to the Virasoro algebra over an arbitrary field
• Vertex operator algebras associated to modified regular representations of the Virasoro algebra