Download or read book Flux Compactifications, Dual Gauge Theories and Supersymmetry Breaking written by Gonzalo Torroba and published by . This book was released on 2009 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: The nonholomorphic sector of four dimensional theories with N=1 supersymmetry that arises from string compactifications is analyzed, and new models of supersymmetry breaking (both in string and field theory) are presented. The dissertation combines three complementary viewpoints. First, space-time effects in 4d supergravity are studied from type IIB string theory compactified on warped Calabi-Yau manifolds with fluxes. The vacuum structure of supersymmetric flux compactifications is well understood and our aim is to extend this to include space-time dependence in the presence of nontrivial warping. Going beyond the static limit is required in order to compute kinetic terms and masses. We develop formalism for identifying the microscopic 10d fluctuations that give rise to fields in the low energy 4d theory, and we present a general formula for their kinetic terms. As an application, the effective theories for the universal K?hler modulus and the complex modulus of the warped deformed conifold are determined. The full effective action for warped compactifications is calculated to quadratic order, including both 4d zero modes and their light Kaluza-Klein excitations. Next, using gauge/gravity dualities, we consider the previous results from the gauge theory side. The focus is on the warped deformed conifold, which is dual to the Klebanov-Strassler gauge theory. In the infrared it reduces to four dimensional pure super Yang-Mills, corresponding to D5 branes in the resolved conifold. The closed string analysis reveals a new term in the K?hler potential for the complex modulus, which has important effects on the low energy theory. It is suggested that this term has a natural interpretation in the dual gauge theory, in terms of the composite nature of the gaugino condensate. Finally, new models of supersymmetry breaking are developed. From the string theory side, we analyze supersymmetry breaking by anti-self-dual flux in the deformed conifold. The theory develops a parametrically small scale of supersymmetry breaking, once warp corrections to the K?hler potential are included. In the field theory side, we construct a model of metastable supersymmetry breaking in SQCD where all the relevant parameters generated dynamically. It is argued that it is possible to balance non-perturbative effects against perturbative corrections. Furthermore, metastable vacua in SQCD with multitrace deformations are explored, with the aim of obtaining an acceptable phenomenology.