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Fermionic formulas for (1,p) logarithmic model characters in \Phi_{2,1} quasiparticle realisation

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arxiv 0704.2464 v4 pith:XO2PN7VP submitted 2007-04-19 hep-th math.QA

classification hep-thmath.QA
keywords charactersformulaslogarithmicconformalexpressionsfermionicfermionsfield
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abstract

We give expressions for the characters of $(1,p)$ logarithmic conformal field models in the Gordon-type form. The formulas are obtained in terms of ``quasiparticles'' that are Virasoro $\Phi_{2,1}$ primary fields and generalize the symplectic fermions.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. 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).

  2. Modularity, 4d mirror symmetry, and VOA modules of 4d $\mathcal{N} = 2$ SCFTs with $a = c$

    hep-th 2025-05 conditional novelty 6.0 of 10

    The vacuum Schur-index modular orbit is proposed as the full VOA module-character space for several a=c theories, with a conjectured dimension formula 1+3ℓ(2+ℓ) for the T_{2,2ℓ+1} series.

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