Gepner-like Description of a String Theory on a Noncompact Singular Calabi-Yau Manifold

Abstract

We investigate a Gepner-like superstring model described by a combination of multiple minimal models and an N=2 Liouville theory. This model is thought to be equivalent to the superstring theory on a singular noncompact Calabi-Yau manifold. We construct the modular invariant partition function of this model, and confirm the validity of an appropriate GSO projection. We also calculate the elliptic genus and Witten index of the model. We find that the elliptic genus factorises into a rather trivial factor and a non-trivial one, and the non-trivial one has the information on the positively curved base manifold of the cone.

22 pages, LaTeX, amsmath package, no figures. Corrected typos

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Cited by in corpus (15)

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• The partition function of the supersymmetric two-dimensional black hole and little string theory
• Conifold Type Singularities, N=2 Liouville and SL(2;R)/U(1) Theories
• D-branes in Singular Calabi-Yau n-fold and N=2 Liouville Theory
• Mirrorfolds with K3 Fibrations
• Supercoset CFT's for String Theories on Non-compact Special Holonomy Manifolds
• Superstring Vacua of 4-dimensional PP-Waves with Enhanced Supersymmetry
• Noncompact Gepner Models with Discrete Spectra
• Singular Calabi-Yau Manifolds and ADE Classification of CFTs
• Coset Character Identities in Superstring Compactifications
• Comments on D-branes in Kazama-Suzuki models and Landau-Ginzburg theories
• Linear Dilaton Background and Fully Localized Intersecting Five-branes
• Asymptotically Free AdS3/CFT2
• Strings and D-branes in holographic backgrounds