Wilson loops and anomalous dimensions in cascading theories

Abstract

We use light-like Wilson loops and the AdS/CFT correspondence to compute the anomalous dimensions of twist two operators in the cascading (Klebanov-Strassler) theory. The computation amounts to find a minimal surface in the UV region of the KS background which is described by the Klebanov-Tseytlin solution. The result is similar to the one for SU(N), N=4 SYM but with N replaced by an effective, scale dependent N. We perform also a calculation using a rotating string and find agreement. In fact we use a double Wick rotated version of the rotating string solution which is an Euclidean world-sheet ending on a light-like line in the boundary. It gives the same result as the rotating string for the N=4 case but is more appropiate than the rotating string in the N=1 case.

24 pages, 4 figures, LaTeX. v2: References added. Typos corrected

References in corpus (1)

• Spinning and rotating strings for N=1 SYM theory and brane constructions

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• Penrose limits in non-Abelian T-dual of Klebanov-Tseytlin Background