Coset Character Identities in Superstring Compactifications

Abstract

We apply the coset character identities (generalization of Jacobi's abstruse identity) to compact and noncompact Gepner models. In the both cases, we prove that the partition function actually vanishes due to the spacetime supersymmetry. In the case of the compact models and discrete parts of the noncompact models, the partition function includes the expected vanishing factor. But the character identities used to the continuous part of the noncompact models suggest that these models have twice as many supersymmetry as expected. This fact is an evidence for the conjecture that the holographically dual of the string theory on an actually singular Calabi-Yau manifold is a super CONFORMAL field theory. The extra SUSY charges are interpreted as the superconformal S generators.

23 pages, LaTeX, no figure. v2:corrected typos, added detailed calculations, added references. v3:corrected typos

References in corpus (3)

• CFT Description of String Theory Compactified on Non-compact Manifolds with G_2 Holonomy
• Cascade of Special Holonomy Manifolds and Heterotic String Theory
• Noncompact Gepner Models with Discrete Spectra

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• Supercoset CFT's for String Theories on Non-compact Special Holonomy Manifolds
• Superstring Vacua of 4-dimensional PP-Waves with Enhanced Supersymmetry
• Coset Construction of Noncompact Spin(7) and G_2 CFTs