Noncompact Gepner Models with Discrete Spectra

Details Noncompact Gepner Models with Discrete Spectra Noncompact Gepner Models with Discrete Spectra

2001-02-26

arxiv.org/abs/hep-th/0102176v1

Phys.Lett. B509 (2001) 346-354

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX, 1 figure

Scientific paper

10.1016/S0370-2693(01)00396-3

We investigate a noncompact Gepner model, which is composed of a number of SL(2,R)/U(1) Kazama-Suzuki models and N=2 minimal models. The SL(2,R)/U(1) Kazama-Suzuki model contains the discrete series among the SL(2,R) unitary representations as well as the continuous series. We claim that the discrete series contain the vanishing cohomology and the vanishing cycles of the associated noncompact Calabi-Yau manifold. We calculate the Elliptic genus and the open string Witten indices. In the A_{N-1} ALE models, they actually agree with the vanishing cohomology and the intersection form of the vanishing cycles.

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