3-D Interacting CFTs and Generalized Higgs Phenomenon in Higher Spin Theories on AdS
High Energy Physics - Theory
2010-04-05 v2
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.
Keywords
Cite
@article{arxiv.hep-th/0212181,
title = {3-D Interacting CFTs and Generalized Higgs Phenomenon in Higher Spin Theories on AdS},
author = {L. Girardello and M. Porrati and A. Zaffaroni},
journal= {arXiv preprint arXiv:hep-th/0212181},
year = {2010}
}
Comments
8 pages, latex; v2 references added