2008/06/30 by Rajesh Kumar Gupta, Ashoke Sen · 69 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Central charge #Combinatorics #Conjecture #Cosmology and Gravitation Theories #Degeneracy (biology) #Entropy (arrow of time) #Geometry #Ground state #Logarithm #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum mechanics #Theoretical physics #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/04/034
published in Journal of High Energy Physics 2009(04), 034 (Springer Nature) · LaTeX file, 14 pages; v2: references added; v3: comments and refernces added; v4: expanded discussion on the role of cut-off
arxiv created 2009/01/28 · openalex publication_date 2009/04/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
It has been suggested that the quantum generalization of the Wald entropy for an extremal black hole is the logarithm of the ground state degeneracy of a dual quantum mechanics in a fixed charge sector. We test this proposal for supersymmetric extremal BTZ black holes for which there is an independent definition of the quantum entropy as the logarithm of the degeneracy of appropriate states in the dual 1+1 dimensional superconformal field theory. We find that the two proposals agree. This analysis also suggests a possible route to deriving the OSV conjecture.