Published Article / Particle Physics - Theory hep-th/0212181

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

Girardello, L (Universita di Milano-Bicocca) ; Porrati, Massimo ; Zaffaroni, A

2003

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.


Published in: Phys. Lett. B: 561 (2003) pp. 289-293

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