Anomalous Dimensions of Non-Chiral Operators from AdS/CFT

Details Anomalous Dimensions of Non-Chiral Operators from AdS/CFT Anomalous Dimensions of Non-Chiral Operators from AdS/CFT

2011-04-26

arxiv.org/abs/1104.5013v2

Physics

High Energy Physics

High Energy Physics - Theory

38 pages, 2 figures, refs added

Scientific paper

Non-chiral operators with positive anomalous dimensions can have interesting applications to supersymmetric model building. Motivated by this, we develop a new method for obtaining the anomalous dimensions of non-chiral double-trace operators in N=1 superconformal field theories (SCFTs) with weakly-coupled AdS duals. Via the Hamiltonian formulation of AdS/CFT, we show how to directly compute the anomalous dimension as a bound state energy in the gravity dual. This simplifies previous approaches based on the four-point function and the OPE. We apply our method to a class of effective AdS5 supergravity models, and we find that the binding energy can have either sign. If such models can be UV completed, they will provide the first calculable examples of SCFTs with positive anomalous dimensions.

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