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Effective AdS/renormalized CFT

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Abstract

For an effective AdS theory, we present a simple prescription to compute the renormalization of its dual boundary field theory at \( \mathcal{O}\left( {{{1} \left/ {{{N^2}}} \right.}} \right) \). In particular, we define anomalous dimension holographically as the dependence of the wave-function renormalization factor on the radial cutoff in the Poincare patch of AdS. With this definition, the anomalous dimensions of both single- and double-trace operators are calculated. Three different dualities are considered with the field theory being CFT, CFT with a double-trace deformation and spontaneously broken CFT. For the second dual pair, we compute scaling corrections at the UV and IR fixed points of the RG flow triggered by the double-trace deformation. For the last case, we discuss whether our prescription is sensitive to the AdS interior or equivalently, the IR physics of the dual field theory.

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  1. Department of Physics, Princeton University, Princeton, NJ, 08540, U.S.A.

    JiJi Fan

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ArXiv ePrint: 1105.0678

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Fan, J. Effective AdS/renormalized CFT. J. High Energ. Phys. 2011, 136 (2011). https://doi.org/10.1007/JHEP09(2011)136

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