English

TASI Lectures: Introduction to the AdS/CFT Correspondence

High Energy Physics - Theory 2017-08-23 v2

Abstract

This is an introductory review of the AdS/CFT correspondence and of the ideas that led to its formulation. We show how comparison of stacks of D3-branes with corresponding supergravity solutions leads to dualities between conformal large NN gauge theories in 4 dimensions and string backgrounds of the form AdS5×X5AdS_5\times X_5 where X5X_5 is an Einstein manifold. The gauge invariant chiral operators of the field theory are in one-to-one correspondence with the supergravity modes, and their correlation functions at strong `t Hooft coupling are determined by the dependence of the supergravity action on AdS boundary conditions. The simplest case is when X5X_5 is a 5-sphere and the dual gauge theory is the N=4{\cal N}=4 supersymmetric SU(N) Yang-Mills theory. We also discuss D3-branes on the conifold corresponding to X5X_5 being a coset space T1,1=(SU(2)×SU(2))/U(1)T^{1,1}=(SU(2)\times SU(2))/U(1). This background is dual to a certain N=1{\cal N}=1 superconformal field theory with gauge group SU(N)×SU(N)SU(N)\times SU(N).

Keywords

Cite

@article{arxiv.hep-th/0009139,
  title  = {TASI Lectures: Introduction to the AdS/CFT Correspondence},
  author = {Igor R. Klebanov},
  journal= {arXiv preprint arXiv:hep-th/0009139},
  year   = {2017}
}

Comments

Lectures at TASI '99, Boulder, June 1999; 36 pages, LaTeX; v2: corrected factor of 2 in eq. (9) and related factors