Effective AdS/renormalized CFT

Note: Special Event, Thursday, 3:30 PM
Speaker: Jiji Fan, Princeton University

When: April 28, 2011 (Thu), 03:30PM to 04:30PM (add to my calendar)
Location: PRB 595

This event is part of the HET Seminar Series.

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 field theory IR physics.