Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-09-18
Physics
High Energy Physics
High Energy Physics - Theory
Lectures at TASI '99, Boulder, June 1999; 36 pages, LaTeX; v2: corrected factor of 2 in eq. (9) and related factors
Scientific paper
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 $AdS_5\times X_5$ where $X_5$ 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 $X_5$ is a 5-sphere and the dual gauge theory is the ${\cal N}=4$ supersymmetric SU(N) Yang-Mills theory. We also discuss D3-branes on the conifold corresponding to $X_5$ being a coset space $T^{1,1}=(SU(2)\times SU(2))/U(1)$. This background is dual to a certain ${\cal N}=1$ superconformal field theory with gauge group $SU(N)\times SU(N)$.
No associations
LandOfFree
TASI Lectures: Introduction to the AdS/CFT Correspondence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with TASI Lectures: Introduction to the AdS/CFT Correspondence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and TASI Lectures: Introduction to the AdS/CFT Correspondence will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-126578