Action, Hamiltonian and CFT for 2D black holes

Details Action, Hamiltonian and CFT for 2D black holes Action, Hamiltonian and CFT for 2D black holes

2000-08-07

arxiv.org/abs/hep-th/0008058v2

JHEP 0010 (2000) 005

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/1126-6708/2000/10/005

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.

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