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

L. Girardello·M. Porrati·A. Zaffaroni
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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.

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L. Girardello, M. Porrati, A. Zaffaroni. 2003-02-24. 3-D Interacting CFTs and Generalized Higgs Phenomenon in Higher Spin Theories on AdS. https://doi.org/10.1016/s0370-2693(03)00492-1

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