AdS Vacua, Attractor Mechanism and Generalized Geometries

TL;DR

This paper explores flux vacua attractor equations in type IIA string theory compactified on generalized geometries, classifying supersymmetric AdS and Minkowski solutions using superpotential discriminants and examining configurations with and without Ramond-Ramond fluxes.

Contribution

It introduces a classification method for supersymmetric vacua via superpotential discriminants and analyzes vacua in generalized geometries with various flux configurations.

Findings

Supersymmetric AdS and Minkowski vacua classified by superpotential discriminants.

Existence of supersymmetric AdS vacua without Ramond-Ramond flux charges.

Necessity of correction terms in the prepotential for consistent vacua without nongeometric fluxes.

Abstract

We consider flux vacua attractor equations in type IIA string theory compactified on generalized geometries with orientifold projections. The four-dimensional N=1 superpotential in this compactification can be written as the sum of the Ramond-Ramond superpotential and a term described by (non)geometric flux charges. We exhibit a simple model in which supersymmetric AdS and Minkowski solutions are classified by means of discriminants of the two superpotentials. We further study various configurations without Ramond-Ramond flux charges. In this case we find supersymmetric AdS vacua both in the case of compactifications on generalized geometries with SU(3) x SU(3) structures and on manifolds with an SU(3)-structure without nongeometric flux charges. In the latter case, we have to introduce correction terms into the prepotential in order to realize consistent vacua.