The aim of these notes is to give a basic introduction to the AdS/CFT

We consider a free massive spinor field in Euclidean Anti-de Sitter space. The usual Dirac action in bulk is supplemented by a certain boundary term. The boundary conditions of the field are parametrized by a spinor on the boundary, subject to a projection. We calculate the dependence of the partition function on this boundary spinor. The result agrees with the generating functional of the correlation functions of a quasi-primary spinor operator, of a certain scaling dimension, in a free conformal field theory on the boundary. CERN-TH/98-78 March

Quantum aspects of gauge theories, supersymmetry and unication

The quantization of a scalar field in AdS leads to two kinds of normalizable modes, usually called regular and irregular modes. The regular one is easily taken into account in the standard prescription for the AdS/CFT correspondence. The irregular mode requires a modified prescription which we

Introduction In [16], Witten and Yau consider the AdS/CFT correspondence in the context of a Riemannian Einstein manifold M n+1 of negative Ricci curvature which admits a conformal compactification (in the sense of Penrose [15]) with conformal boundary N n . As discussed in [16], a conformal

Abstract. We analyze the conformal invariance of submanifold observables associated with k-branes in the AdS/CFT correspondence. For odd k, the resulting observables are conformally invariant, and for even k, they transform with a conformal anomaly that is given by a local expression which we

We use the AdS/CFT correspondence to study near forward scattering of colourless objects in gauge theory in the high energy limit. We find an unexpected from the gauge theory perspective ‘gravity-like ’ s 1 behaviour of the amplitudes coming from bulk graviton exchange. 1.

In the AdS/CFT correspondence motion in the radial direction of the AdS space is identified with renormalization group flow in the field theory. For the N=4 Yang-Mills theory this motion is trivial. More interesting examples of renormalization group flow occur when the N=4 theory is deformed

We give a group-theoretic interpretation of the AdS/CFT correspondence as relation of representation equivalence between representations of the conformal group describing the bulk AdS fields φ, their boundary fields φ0 and the coupled to the latter boundary conformal operators O. We use two kinds

Recent work has shown that boundary correlators in AdS-Schwarzschild can probe the geometry near the singularity. In this paper we aim to analyze the specific signatures of the singularity, show how significant they can be, and uncover the origins of these large effects in explicitly outside