Supersymmetric solutions of supergravity from wrapped branes

Abstract

We consider several solutions of supergravity with reduced supersymmetry which are related to wrapped branes, and elaborate on their geometrical and physical interpretation. The Killing spinors are computed for each configuration. In particular, all the known metrics on the conifold and all G_2 holonomy metrics with cohomogeneity one and S^3xS^3 principal orbits are constructed from D=8 gauged supergravity in a unified formalism. The addition of 4-form fluxes piercing the unwrapped directions is also considered. We also study the problem of finding kappa-symmetric D5-probes in the so-called Maldacena-Nunez model. Some of these solutions are related to the addition of flavor to the dual gauge theory. We match our results with some known features of N=1 SQCD with a small number of flavors and compute its meson mass spectrum. Moreover, the gravity solution dual to three dimensional N=1 gauge theory, solutions related to branes wrapping hyperbolic spaces, Spin(7) holonomy metrics and SO(4) twistings in D=7 gauged sugra are studied in the last chapter.