2D Black Holes, Conformal Vacua and CFTs on the Cylinder
arXiv:hep-th/0107234 · doi:10.1016/S0370-2693(01)01273-4
Abstract
We investigate two-dimensional dilaton gravity models with a power-law dilaton potential, whose black hole solutions contain, among others, the dimensional reduction of the Schwarzschild black hole, the Anti-de Sitter black hole and Rindler spacetime. We show that the ground state of these models satisfies simple transformation laws under the SL(2,R) conformal group. We use these transformation laws to explain the scaling behavior of the thermodynamical parameters of the black hole and the nonextensivity of the thermodynamical system. The black hole thermodynamical behavior, in particular its entropy, is reproduced by a mapping into a two-dimensional conformal field theory on the cylinder.
10 pages, JHEP style
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- PV criticality of the second order quantum corrected Horava-Lifshitz black hole
- Cardy-Verlinde Formula and Achucarro-Ortiz Black Hole
- Quantum-Corrected Cardy Entropy for Generic 1+1-Dimensional Gravity
- The Cardy-Verlinde formula for 2D gravity
- Symmetries, Holography and Quantum Phase Transition in Two-dimensional Dilaton AdS Gravity
- Holographic Central Charge for 2-Dimensional de Sitter Space
- Entropy of the 3-brane and the AdS/CFT duality from a two-dimensional perspective