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Unitarity of rational N=2 superconformal theories

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arxiv hep-th/9601163 v3 pith:PKAB67TA submitted 1996-01-30 hep-th

W. Eholzer , M.R. Gaberdiel This is my paper · ORCID
classification hep-th
keywords algebramodelsrationalargumentssometheoriesunitaryanalyse
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We demonstrate that all rational models of the N=2 super Virasoro algebra are unitary. Our arguments are based on three different methods: we determine Zhu's algebra (for which we give a physically motivated derivation) explicitly for certain theories, we analyse the modular properties of some of the vacuum characters, and we use the coset realisation of the algebra in terms of su_2 and two free fermions. Some of our arguments generalise to the Kazama-Suzuki models indicating that all rational N=2 supersymmetric models might be unitary.

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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. Fusion rules and rigidity for weight modules over the simple admissible affine $\mathfrak{sl}(2)$ and $\mathcal{N}=2$ superconformal vertex operator superalgebras

    math.QA 2024-11 conditional novelty 7.0 of 10

    Rigidity of weight module categories for admissible affine sl(2) and N=2 superconformal minimal models is proved, together with the conjectured fusion product decompositions, including non-semisimple summands.

  2. Defects in N=1 minimal models and RG flows

    hep-th 2026-01 unverdicted novelty 5.0 of 10

    Topological defects constrain the allowed RG flows of N=1 superconformal minimal models, first via a bosonic coset description and then for the full superconformal case.

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