Unitarity of rational N=2 superconformal theories

Details Unitarity of rational N=2 superconformal theories Unitarity of rational N=2 superconformal theories

1996-01-30

arxiv.org/abs/hep-th/9601163v3

Commun.Math.Phys. 186 (1997) 61-85

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX (+amssym.def), 28 pages; minor changes in content, some references added, final version

Scientific paper

10.1007/BF02885672

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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