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arXiv · 1209.5396

Smoothed Transitions in Higher Spin AdS Gravity

Shamik Banerjee·Alejandra Castro·Simeon Hellerman·Eliot Hijano·Arnaud Lepage-Jutier·Alexander Maloney·Stephen Shenker
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Abstract

We consider CFTs conjectured to be dual to higher spin theories of gravity in AdS_3 and AdS_4. Two dimensional CFTs with W_N symmetry are considered in the lambda=0 (k --> infinity) limit, where they are conjectured to be described by continuous orbifolds. The torus partition function is computed, using reasonable assumptions, and equals that of a free field theory. We find no phase transition at temperatures of order one; the usual Hawking-Page phase transition is removed by the highly degenerate light states associated with conical defect states in the bulk. Three dimensional Chern-Simons-matter CFTs with vector-like matter are considered on T^3, where the dynamics is described by an effective theory for the eigenvalues of the holonomies. Likewise, we find no evidence for a Hawking-Page phase transition at large level k.

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Shamik Banerjee, Alejandra Castro, Simeon Hellerman, Eliot Hijano, Arnaud Lepage-Jutier, Alexander Maloney, Stephen Shenker. 2012-10-11. Smoothed Transitions in Higher Spin AdS Gravity. https://doi.org/10.1088/0264-9381%2F30%2F10%2F104001

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