3-D Interacting CFTs and Generalized Higgs Phenomenon in Higher Spin Theories on AdS

Abstract

We study a duality, recently conjectured by Klebanov and Polyakov, between higher-spin theories on AdS_4 and O(N) vector models in 3-d. These theories are free in the UV and interacting in the IR. At the UV fixed point, the O(N) model has an infinite number of higher-spin conserved currents. In the IR, these currents are no longer conserved for spin s>2. In this paper, we show that the dual interpretation of this fact is that all fields of spin s>2 in AdS_4 become massive by a Higgs mechanism, that leaves the spin-2 field massless. We identify the Higgs field and show how it relates to the RG flow connecting the two CFTs, which is induced by a double trace deformation.

8 pages, latex; v2 references added

References in corpus (7)

• AdS Dual of the Critical O(N) Vector Model
• Massless Higher Spins and Holography
• "Double-trace" Deformations, Boundary Conditions and Spacetime Singularities
• Free geometric equations for higher spins
• Analysis of Higher Spin Field Equations in Four Dimensions
• Higgs Phenomenon for 4-D Gravity in Anti de Sitter Space
• On N=1,2,4 Higher Spin Gauge Theories in Four Dimensions

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