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arxiv: math/0503472 · v2 · submitted 2005-03-23 · 🧮 math.QA · math.RT

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

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keywords operatorvertexalgebraassociattedautomorphismbilinearclassesclassify
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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.

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