Some exceptional extensions of Virasoro vertex operator algebras

2018/11/03 by Chunrui Ai, Chongying Dong, Ai, Chunrui +3
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1811.02433

openalex publication_date 2018/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, extensions of nonunitary rational Virasoro vertex operator algebras corresponding to some exceptional modular invariants are constructed. The uniqueness of these extensions is also established.

Citations

• Symmetric invariant bilinear forms on vertex operator algebras

Related

• Vertex operator algebras associated to the Virasoro algebra over an arbitrary field
• On Exceptional Vertex Operator (Super) Algebras
• A class of vertex operator algebras generated by Virasoro vectors
• Vertex operator algebras associated to admissible representations of sl₂
• Rational vertex operator algebras are finitely generated