This article is cited in 4 papers

Poincaré polynomials and level rank dualities in the $N=2$ coset construction

Ch. Schweigert


Abstract: We review the coset construction of conformal field theories; the emphasis is on the construction of the Hilbert spaces for these models, especially if fixed points occur. This is applied to the $N=2$ superconformal cosets constructed by Kazama and Suzuki. To calculate heterotic string spectra we reformulate the Gepner construction in terms of simple currents and introduce the so-called extended Poincaré polynomial. We finally comment on the various equivalences arising between models of this class, which can be expressed as level rank dualities.

Language: English

 English version: Theoretical and Mathematical Physics, 1994, 98:3, 326–334

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