Action, Hamiltonian and CFT for 2D black holes

Abstract

The boundary terms in the Hamiltonian, in the presence of horizons, are carefully analyzed in a simple 2D theory admitting AdS black holes. The agreement between the euclidean approach and Cardy's formula is obtained modulo certain assumptions on the spectrum of the Virasoro's algebra. There is no discrepancy factor "square root of 2" once the appropriate boundary conditions are properly recognized. The peculiar features of gravity, that the on-shell Hamiltonian is determined by boundary terms, is the reason of the mentioned agreement.

6 pages, Latex2e document, v2 typos corrected, one reference added

References in corpus (3)

• Vacuum States for AdS_2 Black Holes
• Symmetry Breaking, Central Charges and the AdS_2/CFT_1 Correspondence
• Two-dimensional black holes as open strings: A new realization of the ADS/CFT correspondence

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• Conformal Dynamics of 0-Branes
• Superconformal Quantum Mechanics from M2-branes
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• Holographic Central Charge for 2-Dimensional de Sitter Space
• Entropy of the 3-brane and the AdS/CFT duality from a two-dimensional perspective
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