Introduction to AdS-CFT

Abstract

These lectures present an introduction to AdS-CFT, and are intended both for begining and more advanced graduate students, which are familiar with quantum field theory and have a working knowledge of their basic methods. Familiarity with supersymmetry, general relativity and string theory is helpful, but not necessary, as the course intends to be as self-contained as possible. I will introduce the needed elements of field and gauge theory, general relativity, supersymmetry, supergravity, strings and conformal field theory. Then I describe the basic AdS-CFT scenario, of $\mathcal{N}=4$ Super Yang-Mills's relation to string theory in $Ad{S}_5\times S_5$, and applications that can be derived from it: 3-point functions, quark-antiquark potential, finite temperature and scattering processes, the pp wave correspondence and spin chains. I also describe some general properties of gravity duals of gauge theories.

133 pages, 13 figures; typos corrected, references added

References in corpus (3)

• Gluon scattering amplitudes at strong coupling
• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• Classical Geometry of De Sitter Spacetime : An Introductory Review

Cited by in corpus (6)

• n-ary algebras: a review with applications
• Remarks on confinement driven by axion-like particles in Yang-Mills theories
• Twistors, strings and supersymmetric gauge theories
• Parton picture for the strongly coupled SYM plasma
• Matrix Model Maps and Reconstruction of AdS SUGRA Interactions
• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities