Coinvariants of nilpotent subalgebras of the Virasoro algebra and partition identities

Boris Feigin; Edward Frenkel

Coinvariants of nilpotent subalgebras of the Virasoro algebra and partition identities

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arxiv hep-th/9301039 v1 pith:3PKA6O6R submitted 1993-01-13 hep-th

Boris Feigin , Edward Frenkel This is my paper · ORCID

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keywords algebracoinvariantsidentitiesnilpotentrepresentationssubalgebrasvirasorocase

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We prove that the dimensions of coinvariants of certain nilpotent subalgebras of the Virasoro algebra do not change under deformation in the case of irreducible representations of (2,2r+1) minimal models. We derive a combinatorial description of these representations and the Gordon identities from this result.

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Character Identities Between Affine and Virasoro Vertex Operator Algebra Modules
math.QA 2025-11 conditional novelty 6.0 of 10

Admissible-level affine sl2 modules and rational Virasoro minimal-model modules have matching characters under the substitution (w,q) -> (q^{+/-1/2}, q^3).

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