On the Stability of Non-Supersymmetric Quantum Attractors in String Theory

TL;DR

This paper investigates the stability and structure of non-supersymmetric black hole attractors in type IIA string theory, analyzing how sub-leading corrections affect their moduli space and the number of massless directions.

Contribution

It provides a detailed analysis of how perturbative corrections influence the attractor points and moduli space structure for non-supersymmetric black holes in string theory.

Findings

Perturbative corrections do not alter the number of massless directions in the effective potential.

D0-D4 attractors are uniquely specified by charges and unaffected in their massless directions.

D0-D6 attractors form a hypersurface in the moduli space, indicating a different structure.

Abstract

We study four dimensional non-supersymmetric attractors in type IIA string theory in the presence of sub-leading corrections to the prepotential. For a given Calabi-Yau manifold, the D0-D4 system admits an attractor point in the moduli space which is uniquely specified by the black hole charges. The perturbative corrections to the prepotential do not change the number of massless directions in the black hole effective potential. We further study non-supersymmetric D0-D6 black holes in the presence of sub-leading corrections. In this case the space of attractor points define a hypersurface in the moduli space.