AdS Vacua, Attractor Mechanism and Generalized Geometries

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.

35 pages, accepted version in JHEP

References in corpus (8)

• The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets
• Type IIA AdS4 compactifications on cosets, interpolations and domain walls
• Gauged Supergravities from Twisted Doubled Tori and Non-Geometric String Backgrounds
• Stationary black holes and attractor mechanism
• Effective actions and N=1 vacuum conditions from SU(3) x SU(3) compactifications
• Low Energy Supersymmetry from Non-Geometry
• Index Theorems on Torsional Geometries
• Flux Vacua Attractors and Generalized Compactifications