Gauge Invariant Regularization in the AdS/CFT Correspondence and Ghost D-branes
arXiv:hep-th/0601114 · doi:10.1016/j.physletb.2006.02.055
Abstract
A field theoretic understanding of how the radial direction in the AdS/CFT Correspondence plays the role of a gauge invariant measure of energy scale has long been missing. In SU(N) Yang-Mills, a realization of a gauge invariant cutoff has been achieved by embedding the theory in spontaneously broken SU(N|N) gauge theory. With the recent discovery of ghost D-branes an AdS/CFT Correspondence version of this scheme is now possible. We show that a very simple construction precisely ties the two pictures together providing a concrete understanding of the radial RG flow on the field theory side.
6 pages, 1 figure. v2: refs. added, typos corrected