Non-Supersymmetric Attractors in String Theory

TL;DR

This paper explores non-supersymmetric attractor solutions in string theory compactifications, identifying conditions under which they exist and analyzing their stability across different regimes and models.

Contribution

It provides explicit examples of non-supersymmetric attractors in Type II string theory on Calabi-Yau three-folds, including large volume and near the Gepner point regimes.

Findings

Non-supersymmetric attractors exist for certain charge configurations.

D6 brane charge influences the stability and nature of attractor solutions.

Attractors near the Gepner point are identified in the mirror IIB description.

Abstract

We find examples of non-supersymmetric attractors in Type II string theory compactified on a Calabi Yau three-fold. For a non-supersymmetric attractor the fixed values to which the moduli are drawn at the horizon must minimise an effective potential. For Type IIA at large volume, we consider a configuration carrying D0, D2, D4 and D6 brane charge. When the D6 brane charge is zero, we find for some range of the other charges, that a non-supersymmetric attractor solution exists. When the D6 brane charge is non-zero, we find for some range of charges, a supersymmetry breaking extremum of the effective potential. Closer examination reveals though that it is not a minimum of the effective potential and hence the corresponding black hole solution is not an attractor. Away from large volume, we consider the specific case of the quintic in CP^4. Working in the mirror IIB description we find non-supersymmetric attractors near the Gepner point.