Vector Models in the Singlet Sector at Finite Temperature

Abstract

We study the thermal properties of the O(N) vector-like scalar theory in the singlet sector in 2+1 dimensions. This theory is conjectured to be the AdS/CFT dual of Vasiliev higher spin gravity. We find that a large N transition occurs but only at a very high temperature of order \sqrt{N}. This corresponds to the bulk Planck energy. The transition signals a decrease in the number of degrees of freedom from that expected in the simple higher spin gas, due to relations among the O(N) bilinear invariants.

18 pages

References in corpus (6)

• Minimal Model Holography
• Symmetries of Holographic Minimal Models
• AdS_4/CFT_3 Construction from Collective Fields
• Holographic dual of free field theory
• Correlation Functions in Holographic Minimal Models
• Confinement/Deconfinement Transition of Large N Gauge Theories in Perturbation Theory with N_f Fundamentals: N_f/N Finite

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