The paper derives a discrete entropy formula for warped black holes directly from SL(2,R) x U(1) boundary monodromy invariants that recovers the continuum warped thermodynamics in the large-lattice limit.
Warped Black Holes in Lower-Spin Gravity
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abstract
We provide a simple holographic description for a warped conformal field theory (WCFT) at finite temperature. To this end we study the counterpart of warped anti-de Sitter black holes in three dimensions using a lower-spin $\mathfrak{sl}(2,\mathbb{R})\oplus\mathfrak{u}(1)$ Chern-Simons theory proposed by Hofman and Rollier. We determine the asymptotic symmetries, thermal entropy and holographic entanglement entropy and show that all these quantities are in perfect agreement with the expectations from the dual WCFT perspective. In addition we provide a metric interpretation of our results which naturally fits with our analysis in the Chern-Simons formulation.
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Holonomies and Boundary Symmetries in the Discrete Warped Chern-Simons Gravity
The paper derives a discrete entropy formula for warped black holes directly from SL(2,R) x U(1) boundary monodromy invariants that recovers the continuum warped thermodynamics in the large-lattice limit.