Gauged Vector Models and Higher-Spin Representations in AdS_5

TL;DR

This paper explores potential AdS_5/CFT_4 correspondences involving large N gauged vector models and their supersymmetric analogues, aiming to extend higher-spin holography beyond AdS_4.

Contribution

It proposes a framework for connecting large N gauged vector models in four dimensions to higher-spin theories in AdS_5, extending previous AdS_4 results.

Findings

Identification of UV and IR fixed points in the models

Potential for a (')^{-1} expansion in AdS_5

Foundation for higher-spin AdS_5/CFT_4 correspondence

Abstract

Motivated by the work of Klebanov and Polyakov [hep-th/0210114] on the relationship of the large N O(N) vector model in three-dimensions to AdS_4 and higher spin representations, we attempt to find analogous connections for AdS_5. Since the usual O(N) vector model in four-dimensions is inconsistent, we consider the (consistent) large N gauged vector model and a N=1 supersymmetric analogue in four-dimensions. Both these theories have UV and IR fixed points, and are candidates for a (\alpha')^-1 expansion in AdS_5, a conjectured AdS_5/CFT correspondence and higher-spin representations in the bulk theory.