Vector Models in the Singlet Sector at Finite Temperature

2011/09/16 by Shenker, Stephen H., Yin, Xi · 2 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.1109.3519

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 √(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.

Cited by

• Collective Theory at Finite-N: Reduction of the Emergent Hilbert Space
• High to low temperature: O(N) model at large N

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