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Gauged Vector Models and Higher-Spin Representations in AdS_5

Howard J. Schnitzer

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 (α')^-1 expansion in AdS_5, a conjectured AdS_5/CFT correspondence and higher-spin representations in the bulk theory.

Gauged Vector Models and Higher-Spin Representations in AdS_5

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 (α')^-1 expansion in AdS_5, a conjectured AdS_5/CFT correspondence and higher-spin representations in the bulk theory.

Paper Structure

This paper contains 8 sections, 88 equations, 1 figure.

Table of Contents

  1. Introduction
  2. The gauged vector model in D=4
  3. Supersymmetric gauged vector model
  4. RG flow
  5. Seiberg duality
  6. AdS$_5$ and gauged vector models
  7. Infinite Spin Representations
  8. Concluding Remarks

Figures (1)

  • Figure :