Unitary vertex operator algebras

2013/08/11 by Chongying Dong, Dong, Chongying, Xingjun Lin +1 · 4 citations
Mathematics · Physics and Astronomy · #17B69 #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.1308.2361

openalex publication_date 2013/08/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Unitary vertex operator algebras are introduced and studied. It is proved that most well-known rational vertex operator algebras are unitary. The classification of unitary vertex operator algebras with central charge c less than or equal to 1 is also discussed.

Citations

• Symmetric invariant bilinear forms on vertex operator algebras

Cited by

• A class of vertex operator algebras generated by Virasoro vectors
• On the semi-infinite cohomology of graded-unitary vertex algebras
• Graded Unitarity in the SCFT/VOA Correspondence
• Extremal unitary representations of big N=4 superconformal algebra

Related

• A characterization of vertex operator algebras V_Zα⁺: I
• Some developments in vertex operator algebra theory, old and new
• Characterizations of the exceptional vertex operator algebras of central charge 1: II
• A characterization of the rational vertex operator algebra V_\Zα⁺: II
• Characterizations of the exceptional vertex operator algebras of central charge 1: I