Gauge/String Duality in Confining Theories

TL;DR

This paper provides an introductory overview of gauge/gravity duality in confining theories, covering key concepts, extensions of AdS/CFT, and non-perturbative phenomena from a supergravity perspective.

Contribution

It offers a comprehensive introduction to gauge/string duality in confining theories, including extensions to less supersymmetric and more realistic models, and discusses non-perturbative phenomena.

Findings

Review of low energy physics of non-Abelian gauge theories

Extensions of AdS/CFT to various dimensions and supersymmetries

Discussion of non-perturbative phenomena via supergravity

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.