Abstract. We argue that the = 1 higher-spin theory on AdS₄ is holographically dual to the = 1 supersymmetric critical O(N) vector model in three dimensions. This appears to be a special form of the AdS/CFT correspondence in which both regular and irregular bulk modes have similar roles and their interplay leads simultaneously to both the free and the interacting phases of the boundary theory. We study various boundary conditions that correspond to boundary deformations connecting, for large-N, the free and interacting boundary theories. We point out the importance of parity in this holography and elucidate the Higgs mechanism responsible for the breaking of higher-spin symmetry for subleading N.

Key words: Field Theories in Lower Dimensions; Conformal Field Models in String Theory; AdS-CFT and dS-CFT Correspondence; Supersymmetry and Duality

E-print number: hep-th/0304217
Cited: by
Refers: to

Received 7 May 2003, accepted for publication 10 June 2003
Published 29 July 2003