2000/08/08 by Marco M. Caldarelli, M. Caldarelli, Luciano Vanzo +3 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1088/1126-6708/2000/10/005
published as JHEP 0010 (2000) 005 · 6 pages, Latex2e document, v2 typos corrected, one reference added
arxiv created 2000/08/08 · openalex publication_date 2000/10/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.