On Higher Spin Gauge Theory and the Critical O(N) Model

Abstract

We show that the differences between correlators of the critical O(N) vector model in three dimensions and those of the free theory are precisely accounted for by the change of boundary condition on the bulk scalar of the dual higher spin gauge theory in AdS4. Thus, the conjectured duality between Vasiliev's theory and the critical O(N) model follows, order by order in 1/N, from the duality with free field theory on the boundary.

15 pages, 24 figures

References in corpus (9)

• Chern-Simons Theory with Vector Fermion Matter
• Higher Spins in AdS and Twistorial Holography
• AdS_4/CFT_3 Construction from Collective Fields
• Holographic dual of free field theory
• Double-Trace Deformations, Mixed Boundary Conditions and Functional Determinants in AdS/CFT
• Recursion Relations for AdS/CFT Correlators
• BCFW for Witten Diagrams
• Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization
• A Note on CFT Correlators in Three Dimensions

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