MS Seminar (Mathematics - String Theory)

Speaker: Tetsuji Kimura (YITP)
Title: AdS Vacua, Attractor Mechanism and Generalized Geometries
Date: Thu, Mar 05, 2009, 15:30 - 17:00
Place: Seminar Room at IPMU Prefab. B
Related File: 25.pdf
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 cane 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. This deformation is interpreted as coming from alpha' corrections caused by back reactions of geometric fluxes on the internal space.