Gauge/String Duality in Confining Theories

Abstract

This is the content of a set of lectures given at the XIII Jorge Andre Swieca Summer School on Particles and Fields, held in Campos do Jordao, Brazil in January 2005. They intend to be a basic introduction to the topic of gauge/gravity duality in confining theories. We start by reviewing some key aspects of the low energy physics of non-Abelian gauge theories. Then, we present the basics of the AdS/CFT correspondence and its extension both to gauge theories in different spacetime dimensions with sixteen supercharges and to more realistic situations with less supersymmetry. We discuss the different options of interest: placing D-branes at singularities and wrapping D-branes in calibrated cycles of special holonomy manifolds. We finally present an outline of a number of non-perturbative phenomena in non-Abelian gauge theories as seen from supergravity.Comment: 70 pages, 8 figures, Lectures given at XIII Jorge Andre Swieca Summer School on Particle and Fields, Campos do Jordao, Brazil, January 2005; v2: several explanations were expanded and improved while an oversight, some typos and the list of references were corrected; v3: minor amendments and a few references added; v4: citations added, final versio