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.

18 pages, LaTex, 1 figure, v. 2, references added; a minor correction

References in corpus (5)

• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• Holography of the N=1 Higher-Spin Theory on AdS4
• Large-N Collective Fields and Holography
• Evaluating the AdS dual of the critical O(N) vector model
• The Holographic Dual of a SUSY Vector Model and Tensionless Open Strings

Cited by in corpus (17)

• On higher spins and the tensionless limit of String Theory
• AdS_4/CFT_3 Construction from Collective Fields
• Non-critical holography and four-dimensional CFT's with fundamentals
• Higher spins in AdS_5 at one loop: vacuum energy, boundary conformal anomalies and AdS/CFT
• Current Exchanges and Unconstrained Higher Spins
• Higher Spin Superalgebras in any Dimension and their Representations
• On the Frame-Like Formulation of Mixed-Symmetry Massless Fields in (A)dS(d)
• Superconformal Gauge Theories and Non-Critical Superstrings
• Perturbative Search for Fixed Lines in Large N Gauge Theories
• On Higher Spins with a Strong Sp(2,R) Condition
• Collective Dipole Model of AdS/CFT and Higher Spin Gravity
• On the AdS Higher Spin / O(N) Vector Model Correspondence: degeneracy of the holographic image
• On the boundary gauge dual of closed tensionless free strings in AdS
• Characters of the Positive Energy UIRs of D=4 Conformal Supersymmetry
• Vectorial AdS_5/CFT_4 duality for spin-one boundary theory
• Possible large-N fixed-points and naturalness for O(N) scalar fields
• Naturalness via scale invariance and non-trivial UV fixed points in a 4d O(N) scalar field model in the large-N limit