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Equivalence between Chain Categories of Representations of Affine sl(2) and N=2 Superconformal Algebras

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arxiv hep-th/9701043 v3 pith:UMISDYHV submitted 1997-01-12 hep-th alg-geommath.AGmath.QAq-alg

B L Feigin , A M Semikhatov , I Yu Tipunin This is my paper · ORCID
classification hep-thalg-geommath.AGmath.QAq-alg
keywords affinealgebrassuperconformalcategorieschainequivalenceequivalentflows
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Highest-weight type representation theories of the affine sl(2) and N=2 superconformal algebras are shown to be equivalent modulo the respective spectral flows.

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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. Reduction and inverse-reduction functors I: standard $\mathsf{V^k}(\mathfrak{sl}_2)$-modules

    math.QA 2026-05 unverdicted novelty 7.0 of 10

    The paper develops a formalism for reduction and inverse-reduction functors and computes the action of reduction on standard modules of V^k(sl_2), noting unbounded spectral sequences.

  2. On Kazama-Suzuki Duality between $\mathcal{W}_k(\mathfrak{sl}_4, f_{\rm sub})$ and $N=2$ Superconformal Vertex Algebra

    math.QA 2024-11 conditional novelty 7.0 of 10

    The subregular W-algebra W_{-1}(sl4,f_sub) and the N=2 superconformal algebra at c=-15 are shown to be Kazama-Suzuki dual, giving a complete classification of irreducible highest-weight W_{-1}(sl4,f_sub)-modules.

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