Microscopic entropy of nondilatonic branes: A 2D approach

2004/06/18 by Mariano Cadoni, M. Cadoni a N. Serra, N. Serra
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #hep-th

paper · pdf · doi:10.1103/physrevd.70.126003

published as Phys.Rev. D70 (2004) 126003 · 10 pages, no figures

arxiv created 2004/06/18 · openalex publication_date 2004/12/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We investigate nondilatonic p-branes in the near-extremal, near-horizon regime. A two-dimensional gravity model, obtained from dimensional reduction, gives an effective description of the brane. We show that the AdS_p+2/CFT_p+1 correspondence at finite temperature admits an effective description in terms of a AdS₂/CFT₁ duality endowed with a scalar field, which breaks the conformal symmetry and generates a nonvanishing central charge. The entropy of the CFT₁ is computed using Cardy formula. Fixing in a natural way a free, dimensionless, parameter introduced in the model by a renormalization procedure, we find exact agreement between the CFT₁ entropy and the Bekenstein-Hawking entropy of the brane.

Citations

• 2D anti–de Sitter gravity as a conformally invariant mechanical system
• Conservation laws and two-dimensional black holes in dilaton gravity
• Action, hamiltonian and CFT of 2D black holes
• Microscopic Origin of the Bekenstein-Hawking Entropy
• The Large N Limit of Superconformal Field Theories and Supergravity