Renormalization Group Flows In The Deformed AdS/CFT Correspondence

TL;DR

This paper explores how deformations of N=4 Yang-Mills theory affect the renormalization group flows within the AdS/CFT correspondence, using supergravity and brane probing techniques to analyze the dual spacetime backgrounds.

Contribution

It provides a detailed analysis of RG flows in deformed N=4 theories, especially N=2, using 5d supergravity and 10d lifts, linking spacetime backgrounds to dual field theories.

Findings

RG flows are non-trivial in deformed theories

Supergravity methods elucidate IR behavior

Brane probing connects geometry to field theory

Abstract

In the AdS/CFT correspondence motion in the radial direction of the AdS space is identified with renormalization group flow in the field theory. For the N=4 Yang-Mills theory this motion is trivial. More interesting examples of renormalization group flow occur when the N=4 theory is deformed. Aspects of the flows are discussed for the N=4 theory on its moduli space, and deformed to N=2 in the infra-red within the context of 5d SUGRA. 10d lifts and brane probing are crucial tools for linking the spacetime backgrounds to the dual field theory.