TY - JOUR

T1 - Introduction to the AdS/CFT correspondence

AU - Klebanov, Igor R.

N1 - Funding Information:
I am grateful to S. Gubser, A. Peet, A. Polyakov, A. Tseytlin and E. Witten, my collaborators on parts of the material reviewed in these notes. This work was supported in part by the NSF grant PHY-9802484 and by the James S. McDon-nell Foundation Grant No. 91-48.

PY - 1999

Y1 - 1999

N2 - 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 N gauge theories in 4 dimensions and string backgrounds of the form AdS5 × X5 where X5 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 coupling are determined by the dependence of the supergravity action on AdS boundary conditions. The simplest case is when X5 is a 5-sphere and the dual gauge theory is the N = 4 supersymmetric SU(N) Yang-Mills theory. We also discuss D3-branes on the conifold corresponding to X5 being a coset space T 1;1 = (SU(2) ×SU(2))=U(1). This background is dual to a certain N = 1 superconformal field theory with gauge group SU(N) × SU(N).

AB - 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 N gauge theories in 4 dimensions and string backgrounds of the form AdS5 × X5 where X5 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 coupling are determined by the dependence of the supergravity action on AdS boundary conditions. The simplest case is when X5 is a 5-sphere and the dual gauge theory is the N = 4 supersymmetric SU(N) Yang-Mills theory. We also discuss D3-branes on the conifold corresponding to X5 being a coset space T 1;1 = (SU(2) ×SU(2))=U(1). This background is dual to a certain N = 1 superconformal field theory with gauge group SU(N) × SU(N).

UR - http://www.scopus.com/inward/record.url?scp=85057745542&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85057745542&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:85057745542

VL - 4

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

T2 - 1999 Quantum Aspects of Gauge Theories, Supersymmetry and Unification, TMR 1999

Y2 - 1 September 1999 through 7 September 1999

ER -