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Effective AdS/renormalized CFT

Authors
  • Fan, JiJi
Type
Preprint
Publication Date
May 03, 2011
Submission Date
May 03, 2011
Identifiers
DOI: 10.1007/JHEP09(2011)136
Source
arXiv
License
Yellow
External links

Abstract

For an effective AdS theory, we present a simple prescription to compute the renormalization of its dual boundary field theory. 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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