Massless Black Holes and Conifolds in String Theory

Abstract

Low-energy effective field theories arising from Calabi-Yau string compactifications are generically inconsistent or ill-defined at the classical level because of conifold singularities in the moduli space. It is shown, given a plausible assumption on the degeneracies of black hole states, that for type II theories this inconsistency can be cured by nonperturbative quantum effects: the singularities are resolved by the appearance of massless Ramond-Ramond black holes. The Wilsonian effective action including these light black holes is smooth near the conifold, and the singularity is reproduced when they are integrated out. In order for a quantum effect to cure a classical inconsistency, it can not be suppressed by the usual string coupling $g_s$. It is shown how the required $g_s$ dependence arises as a result of the peculiar couplings of Ramond-Ramond gauge fields to the dilaton.

15 pages, harvmac

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• Symplectic Calabi-Yau manifolds, minimal surfaces and the hyperbolic geometry of the conifold
• Moduli stabilisation in early superstring cosmology
• Comments on D-Brane and $SO(2N)$ Enhanced Symmetry in Type II String
• A small and non-simple geometric transition
• Branes in N=2,D=4 sugra and the conformal field theory limit
• Can we live in the bulk without a brane?
• Holographic QFTs on S${}^2\times$S${}^2$, spontaneous symmetry breaking and Efimov saddle points
• N=2 Supersymmetric Theories, Dyonic Charges and Instantons
• PhD Thesis: String theory in the early universe
• The rigid limit in Special Kähler geometry for SU(2) SYM with a massive quark hypermultiplet
• Lectures on BCOV holomorphic anomaly equations
• A Large N Type IIB Duality via a Spin(7) Geometric Transition as an F-theory Flop
• A Perverse Sheaf Approach Toward a Cohomology Theory for String Theory