Supersymmetry of the (2+1)-dimensional black holes

1993/10/29 by O. Coussaert, Olivier Coussaert, Marc Henneaux +1 · 17 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevlett.72.183

published as Phys.Rev.Lett. 72 (1994) 183-186 · 9 pages LaTeX file, ULB-PMIF-93/07

arxiv created 1993/10/29 · openalex publication_date 1994/01/10 · arxiv updated 2009/11/30 · openalex created_date 2017/04/07 · openalex updated_date 2026/07/28

Abstract

The supersymmetry properties of the asymptotically anti--de Sitter (adS) black holes of Einstein theory in 2+1 dimensions are investigated. It is shown that (i) the zero-mass black hole has two exact supersymmetries; (ii) extreme lM=\ensuremath\VertJ\ensuremath\Vert black holes with M\ensuremath≠0 have only one; and (iii) generic black holes do not have any. It is also argued that the zero-mass hole is the ground state of (1,1) adS supergravity with periodic (``Ramond'') boundary conditions on the spinor fields.

Citations

• Black hole in three-dimensional spacetime
• Stability of gravity with a cosmological constant
• A Class of Exact Solutions of Einstein's Field Equations
• Supersymmetric black holes
• Solutions of the Einstein-Maxwell equations with many black holes
• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
• A new proof of the positive energy theorem
• Geometry of the 2+1 Black Hole

Cited by

• A particle probing thermodynamics in a three-dimensional black hole
• Thermodynamics of three-dimensional black holes via charged particle absorption
• Supersymmetric 3D gravity with torsion: asymptotic symmetries
• What we don't know about BTZ black hole entropy
• The (2 + 1)-dimensional black hole
• Conformal field theory, (2 + 1)-dimensional gravity and the BTZ black hole
• Critical behavior for the dilaton black holes
• Fundamental superstrings as holograms
• 3D supergravity from wrapped M5-branes
• More on superstrings inAdS3× Script N
• Gauged Supergravities
• Entropy of three-dimensional black holes in string theory
• Six-dimensional supergravity on S3 × AdS3 and 2d conformal field theory
• Near-horizon geometry and black holes in four dimensions
• Supersymmetric black holes with spiky horizons
• Wilson loops and black holes in 2+1 dimensions
• Quasinormal modes and phase transition of black holes