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Characters of coinvariants in (1,p) logarithmic models

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arxiv 0805.4096 v2 pith:LR4KKNGN submitted 2008-05-27 math.QA math-phmath.MP

Characters of coinvariants in (1,p) logarithmic models

B.L. Feigin , I.Yu. Tipunin This is my paper
classification math.QA math-phmath.MP
keywords modulescharacterscoinvariantsinducedgivelogarithmicmodelsalgebra
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We investigate induced modules of doublet algebra in (1,p) logarithmic models. We give fermionic formulas for the characters of induced modules and coinvariants with respect to different subalgebras calculated in the irreducible modules. The characters of coinvariants give multiplicities of projective modules in fusion of induced modules.

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  1. Character Identities Between Affine and Virasoro Vertex Operator Algebra Modules

    math.QA 2025-11 conditional novelty 6.0

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