Non-Supersymmetric Stringy Attractors

TL;DR

This paper investigates the stability of non-supersymmetric black hole attractors in type IIA supergravity with Calabi-Yau compactifications, focusing on how quantum corrections influence their stability depending on charge configurations.

Contribution

It analyzes the impact of O(1) corrections to the pre-potential on the stability of D0-D4 and D0-D6 attractors, revealing charge-dependent stability outcomes.

Findings

O(1) corrections do not lift zero modes for D0-D6 attractors.

O(1) corrections can stabilize or destabilize D0-D4 attractors.

Stability depends on Calabi-Yau geometry and charge values.

Abstract

In this paper we examine the stability of non-supersymmetric attractors in type IIA supergravity compactified on a Calabi-Yau manifold, in the presence of sub-leading corrections to the N=$ pre-potential. We study black hole configurations carrying D0-D6 and D0-D4 charges. We consider the O(1) corrections to the pre-potential given by the Euler number of the Calabi-Yau manifold. We argue that such corrections in general can not lift the zero modes for the D0-D6 attractors. However, for the attractors carrying the D0-D4 charges, they affect the zero modes in the vector multiplet sector. We show that, in the presence of such O(1) corrections, the D0-D4 attractors can either be stable or unstable depending on the geometry of the underlying Calabi-Yau manifold, and on the specific values of the charges they carry.