We discuss the origin of logarithmic operators in AdS 3 string theory. It is shown that j = − 1 2 representation can give logarithmic correlation functions in the boundary CFT. Singletons play a special role in AdS 3 /CF T 2 correspondence as they also give logarithmic correlation functions in boundary CFT. For this one has to cross the j = − 1 2 barrier and define correlation functions for j >...

We review the application of the AdS/CFT correspondence to calculate the jet quenching parameter in QCD.

The near boundary limit of string theory in AdS3 is analysed using the Wakimoto free field representation of SL(2, R). The theory is considered as a direct product of the SL(2, R)/U(1) coset and a free boson. Correlation functions are constructed generalizing to the non-compact case the integral representation of conformal blocks introduced by Dotsenko in the compact SU(2) CFT. Sectors of the t...

A free Rarita-Schwinger field in the Anti-de Sitter space is considered. We show that the usual action can be supplemented by a boundary term that can be interpreted as the generating functional of the correlation functions in a conformal field theory on the boundary of the Anti-de Sitter space. On leave from Moscow State University and L. D. Landau Institute for Theoretical Physics, Moscow, Ru...

We study the strong coupling dynamics of the heterotic E8 ×E8 string theory on the orbifolds T /Z3 and C /Z3 using the duality with the Horava-Witten M-theory picture. This leads us to a conjecture about the low energy description of the five dimensional E0-theory (the CFT that describes the the singularity region of M-theory on C/Z3) compactified on S /Z2.

We consider a system of D5/D1 branes in the supergravity background AdS3 × S ×X , where X is T 4 or K3. By investigating the structure of the missing states in the conformal description, we are able to extend the AdS/CFT correspondence to W algebras. As a test of this new formulation the results are compared to Hilbert schemes and more general supergravity backgrounds as deformations by D3-bran...

The loop expansion of the effective action is used to evaluate quantum corrections to a scalar field theory (massive φ model) on AdSn+1 . We evaluate one loop corrections and show that they preserve conformal invariance of the boundary theory as conjectured by AdS/CFT correspondence. ∗email : [email protected] 1

We use the group-theoretic interpretation of the AdS/CFT correspondence which we proposed earlier in order to lift intertwining operators acting between boundary conformal representations to intertwining operators acting between bulk conformal representations. Further, we present the classification of the positive energy (lowest weight) unitary irreducible representations of the D = 6 superconf...

The general correlator of composite operators of N=4 supersymmetric gauge field theory is divergent. We introduce a means for renormalizing these correlators by adding a boundary theory on the AdS space correcting for the divergences. Such renormalizations are not equivalent to the standard normal ordering of current algebras in two dimensions. The correlators contain contact terms that contrib...