Wednesday, September 26, 2012

1209.5396 (Shamik Banerjee et al.)

Smoothed Transitions in Higher Spin AdS Gravity    [PDF]

Shamik Banerjee, Alejandra Castro, Simeon Hellerman, Eliot Hijano, Arnaud Lepage-Jutier, Alexander Maloney, Stephen Shenker
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.
View original: http://arxiv.org/abs/1209.5396

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