Holographic Duals of 4D Field Theories

TL;DR

This paper explores the holographic relationship between five-dimensional gravity theories and four-dimensional field theories, focusing on deformations of N=4 SYM, RG duals, and a holographic proof of Goldstone's theorem.

Contribution

It provides new insights into deformations of N=4 SYM, discusses recent proposals for holographic RG duals, and offers a holographic proof of Goldstone's theorem.

Findings

Deformations of N=4 SYM to confining theories via 5D supergravity

Proposals for holographic duals of the renormalization group

Holographic proof of Goldstone's theorem

Abstract

We discuss various aspect of the holographic correspondence between 5-d gravity and 4-d field theory. First of all, we describe deformations of N=4 Super Yang-Mills (SYM) theories in terms of 5-d gauged supergravity. In particular, we describe N=0 and N=1 deformations of N=4 SYM to confining theories. Secondly, we describe recent proposals for the holographic dual of the renormalization group and for 4-d central charges associated to it. We conclude with a ``holographic'' proof of the Goldstone theorem.