On The Stability of Non-Supersymmetric Attractors in String Theory

TL;DR

This paper investigates the stability of non-supersymmetric attractors in Type IIA string theory, simplifying the complex analysis through group theory and providing explicit stability criteria for different charge configurations.

Contribution

It introduces a group theoretic approach to simplify stability analysis of non-supersymmetric attractors, and explicitly computes stability conditions for D0-D4 and D0-D6 charge cases.

Findings

D0-D4 attractors require quartic potential expansion for stability analysis.

D0-D6 attractors form a moduli space and are stable.

Group theory simplifies the stability analysis process.

Abstract

We study non-supersymmetric attractors obtained in Type IIA compactifications on Calabi Yau manifolds. Determining if an attractor is stable or unstable requires an algebraically complicated analysis in general. We show using group theoretic techniques that this analysis can be considerably simplified and can be reduced to solving a simple example like the STU model. For attractors with D0-D4 brane charges, determining stability requires expanding the effective potential to quartic order in the massless fields. We obtain the full set of these terms. For attractors with D0-D6 brane charges, we find that there is a moduli space of solutions and the resulting attractors are stable. Our analysis is restricted to the two derivative action.