Massless Black Holes and Conifolds in String Theory

TL;DR

This paper demonstrates that nonperturbative quantum effects involving massless Ramond-Ramond black holes resolve conifold singularities in string theory's low-energy effective actions, ensuring consistency near these singularities.

Contribution

It shows how massless black holes resolve conifold singularities in type II string compactifications through nonperturbative effects, a novel mechanism in string theory.

Findings

Conifold singularities are resolved by massless Ramond-Ramond black holes.

The effective action remains smooth near the conifold after including these black holes.

Quantum effects involving black holes are not suppressed by the string coupling g_s.

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.