N=2 Current Algebras for Non-Semi-Simple Groups

Abstract

We examine the problem of constructing N=2 superconformal algebras out of N=1 non-semi-simple affine Lie algebras. These N=2 superconformal theories share the property that the super Virasoro central charge depends only on the dimension of the Lie algebra. We find, in particular, a construction having a central charge c=9. This provides a possible internal space for string compactification and where mirror symmetry might be explored.

10 pages, BONN-HE-94-09

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Cited by in corpus (4)

• Exact solutions of closed string theory
• Irrational Conformal Field Theory
• On the structure of symmetric self-dual Lie algebras
• Nonreductive WZW models and their CFTs, II: N=1 and N=2 cosets