A Z₂-orbifold model of the symplectic fermionic vertex operator superalgebra

2005/03/23 by Toshiyuki Abe, Abe, Toshiyuki · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.math/0503472

openalex publication_date 2005/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct an irrational C₂-cofinite vertex operator algebra associatted to a finite dimensional vector space with a nondegenerate skew-symmetric bilinear form. We also classify its equivalence classes of irreducible modules and determine its automorphism group.

Citations

• Curiosities at c=-2
• Symmetric invariant bilinear forms on vertex operator algebras
• Local systems of vertex operators, vertex superalgebras and modules

Cited by

• Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT

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