A Z_2-orbifold model of the symplectic fermionic vertex operator superalgebra

Abstract

We construct an irrational C_2-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.

43 pages Some mathematical or grammatical typos and errors are corrected

References in corpus (3)

• A Rational Logarithmic Conformal Field Theory
• Curiosities at c=-2
• Nonmeromorphic operator product expansion and C_2-cofiniteness for a family of W-algebras

Cited by in corpus (11)

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• Twisted modules and $G$-equivariantization in logarithmic conformal field theory
• Modularity of logarithmic parafermion vertex algebras
• Logarithmic conformal field theories of type $B_n,\ell =4$ and symplectic fermions
• Super Vertex Algebras, Meromorphic Jacobi Forms and Umbral Moonshine
• The logarithmic Cardy case: Boundary states and annuli
• Rationality of vertex operator algebras
• The second bosonization of the CKP hierarchy