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On the classification ofN=2 superconformal coset theories

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Abstract

We show that two dimensionalN=2 superconformal field theories cannot be constructed by applying the supersymmetric extension of the GKO construction to the so-called special subalgebras, i.e. subalgebras for which at least one generator associated to a root of the subalgebra does not correspond to a root of the algebra itself. We thus prove the completeness of the classification ofN=2 supersymmetric coset models obtained by Kazama and Suzuki. Furthermore we point out that compared to their papers an additional criterion has to be added in theN=2 conditions.

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Authors and Affiliations

  1. Institut für theoretische Physik der Universität Heidelberg, Philosophenweg 16, 6900, Heidelberg, Federal Republic of Germany

    Christoph Schweigert

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  1. Christoph Schweigert
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Communicated by K. Gawedzki

Work supported by the Studienstiftung des deutschen Volkes

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Schweigert, C. On the classification ofN=2 superconformal coset theories. Commun.Math. Phys. 149, 425–431 (1992). https://doi.org/10.1007/BF02097633

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  • DOI: https://doi.org/10.1007/BF02097633

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