Some finite properties for vertex operator superalgebras

2011/12/08 by Chongying Dong, Dong, Chongying, Jianzhi Han +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1112.1918

Abstract

Vertex operator superalgebras are studied and various results on rational Vertex operator superalgebras are obtained. In particular, the vertex operator super subalgebras generated by the weight 1/2 and weight 1 subspaces are determined. It is also established that if the even part V ₀ of a vertex operator superalgebra V is rational, so is V.

Citations

• Symmetric invariant bilinear forms on vertex operator algebras
• Local systems of vertex operators, vertex superalgebras and modules

Related

• Rationality of unitary N=2 vertex operator superalgebras
• On rationality of vertex operator superalgebras
• Vertex Operator Superalgebras and Their Representations
• On the unitary structures of vertex operator superalgebras
• A characterization of the rational vertex operator algebra V_\Zα⁺: II