Modular Invariant Critical Superstrings on Four-dimensional Minkowski Space $\times$ Two-dimensional Black Hole

Abstract

Extending the seminal work of Bilal and Gervais, we construct a tachyon-free, modular invariant partition function for critical superstrings on four-dimensional Minkowski x two-dimensional black hole. This model may be thought of as an SL(2,R)/U(1) version of Gepner models and corresponds to a conifold point on the moduli space of Calabi-Yau compactifications. We directly deal with N=2, c=9 unitary superconformal characters. Modular invariance is achieved by requiring the string to have a momentum along an extra noncompact direction, in agreement with the picture of singular CFTs advocated by Witten. The four-dimensional massless spectrum coincides with that of the tensionless strings, suggesting a possible dual description of type II strings on a conifold in terms of two intersecting NS5-branes. An interesting relation to D=6, N=4 gauged supergravity is also discussed.

18 pages, 2 figures

Cited by in corpus (29)

• Duality of the Fermionic 2d Black Hole and N=2 Liouville Theory as Mirror Symmetry
• Modular Bootstrap for Boundary N=2 Liouville Theory
• SL(2,R)/U(1) Supercoset and Elliptic Genera of Non-compact Calabi-Yau Manifolds
• Notes on Non-Critical Superstrings in Various Dimensions
• Conifold Type Singularities, N=2 Liouville and SL(2;R)/U(1) Theories
• D-branes and SQCD in Non-Critical Superstring Theory
• D-branes in non-critical superstrings and minimal super Yang-Mills in various dimensions
• CFT Description of String Theory Compactified on Non-compact Manifolds with G_2 Holonomy
• D-Branes on ALE Spaces and the ADE Classification of Conformal Field Theories
• D-branes in Singular Calabi-Yau n-fold and N=2 Liouville Theory
• String Theory on AdS_3 as Discrete Light-Cone Liouville Theory
• Mirrorfolds with K3 Fibrations
• Gepner-like Description of a String Theory on a Noncompact Singular Calabi-Yau Manifold
• 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
• Free field realization of superstring theory on AdS3
• Coset Character Identities in Superstring Compactifications
• Comments on D-branes in Kazama-Suzuki models and Landau-Ginzburg theories
• Non-critical Heterotic Superstrings in Various Dimensions
• The Topological Cigar Observables
• Linear Dilaton Background and Fully Localized Intersecting Five-branes
• On Non-Critical Superstring/Black Hole Transition
• String Scale Thermal Anti-de Sitter Spaces
• Warped String Compactification via Singular Calabi-Yau Conformal Field Theory
• Little IIB Matrix Model
• Gauged Linear Sigma Models for Noncompact Calabi-Yau Varieties
• Strings and D-branes in holographic backgrounds