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Communications in Mathematical Physics

, Volume 149, Issue 2, pp 425–431 | Cite as

On the classification ofN=2 superconformal coset theories

  • Christoph Schweigert
Article

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.

Keywords

Neural Network Statistical Physic Field Theory Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • Christoph Schweigert
    • 1
  1. 1.Institut für theoretische Physik der Universität HeidelbergHeidelbergFederal Republic of Germany

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