Gauge Invariant Regularization in the AdS/CFT Correspondence and Ghost D-branes

TL;DR

This paper proposes a gauge-invariant regularization scheme in the AdS/CFT correspondence using ghost D-branes, providing a concrete understanding of the radial RG flow in the dual field theory.

Contribution

It introduces a novel gauge-invariant cutoff method in AdS/CFT by leveraging ghost D-branes, connecting the bulk and boundary descriptions.

Findings

Established a gauge-invariant cutoff scheme in AdS/CFT.

Linked the radial RG flow to ghost D-branes.

Provided a concrete realization of the energy scale in the dual field theory.

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.