TY - JOUR
T1 - 3D interacting CFTs and generalized Higgs phenomenon in higher spin theories on AdS
AU - Girardello, L.
AU - Porrati, M.
AU - Zaffaroni, A.
N1 - Funding Information:
We thank D. Anselmi for fruitful conversations. A.Z. thank the Scuola Normale Superiore in Pisa for its kind hospitality while this work was done. L.G. and A.Z. are partially supported by INFN and MURST under contract 2001-025492, and by the European Commission TMR program HPRN-CT-2000-00131. M.P. is supported in part by NSF grant PHY-0070787.
PY - 2003/5/29
Y1 - 2003/5/29
N2 - We study a duality, recently conjectured by Klebanov and Polyakov, between higher-spin theories on AdS4 and O (N) vector models in 3D. 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 Letter, we show that the dual interpretation of this fact is that all fields of spin s > 2 in AdS4 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.
AB - We study a duality, recently conjectured by Klebanov and Polyakov, between higher-spin theories on AdS4 and O (N) vector models in 3D. 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 Letter, we show that the dual interpretation of this fact is that all fields of spin s > 2 in AdS4 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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U2 - 10.1016/S0370-2693(03)00492-1
DO - 10.1016/S0370-2693(03)00492-1
M3 - Article
AN - SCOPUS:0037612103
SN - 0370-2693
VL - 561
SP - 289
EP - 293
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 3-4
ER -