Vector Models in the Singlet Sector at Finite Temperature

Stephen H. Shenker; Xi Yin

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arXiv · 1109.3519

Vector Models in the Singlet Sector at Finite Temperature

Stephen H. Shenker·Xi Yin

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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.

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Stephen H. Shenker, Xi Yin. 2011-09-16. Vector Models in the Singlet Sector at Finite Temperature. https://arxiv.org/abs/1109.3519

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