On the negative spectrum of the 2+1 black hole

Abstract

In (2+1)-dimensional gravity with negative cosmological constant, the states in the negative energy range, between AdS (M=-1) and the so-called BTZ black hole ($M\ge 0$), correspond to topological defects with angular deficit $0<\alpha <2\pi$. These defects are produced by (static or spinning) 0-branes which, in the extreme case $M\ell =-|J|$, admit globally-defined covariantly constant spinors. Thus, these branes correspond to BPS solitons and are stable ground state candidates for the corresponding supersymmetric extension of 2+1 AdS gravity. These branes constitute external currents that couple in a gauge-invariant way to three-dimensional AdS gravity.

6 pages, 1 figure, ReVTeX

References in corpus (2)

• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• Uses of Chern-Simons actions

Cited by in corpus (30)

• The flat limit of three dimensional asymptotically anti-de Sitter spacetimes
• Generalized Uncertainty Principle in three-dimensional gravity and the BTZ black hole
• Supersymmetry of a different kind
• Quantum Backreaction on Three-Dimensional Black Holes and Naked Singularities
• Local supersymmetry without SUSY partners
• Quantum-corrected black holes and naked singularities in (2+1)-dimensions
• Quantum dress for a naked singularity
• N=4 Supersymmetric BMS3 algebras from asymptotic symmetry analysis
• Couplings between Chern-Simons gravities and 2p-branes
• Supersymmetric 3D model for gravity with $SU(2)$ gauge symmetry, mass generation and effective cosmological constant
• Geodesically complete BTZ-type solutions of $2+1$ Born-Infeld gravity
• AdS/BCFT from Conformal Bootstrap: Construction of Gravity with Branes and Particles
• Stable p-branes in Chern-Simons AdS supergravities
• Optical Properties of a θ-Vacuum
• Torsion at different scales: from materials to the Universe
• Geodesic Structure of Naked Singularities in AdS${}_3$ Spacetime
• Quantum backreaction for overspinning BTZ geometries
• Overspinning naked singularities in AdS${}_3$ spacetime
• A note on the admissibility of complex BTZ metrics
• Perturbing a quantum black hole
• Vacuum energy in asymptotically flat 2+1 gravity
• Geometry and stability of spinning branes in AdS gravity
• Naked Singularities, Topological Defects and Brane Couplings
• Dynamical sectors for a spinning particle in AdS_3
• Spinning Particle Geometries in AdS${}_3$/CFT${}_2$
• Conical defects and holography in topological AdS gravity
• C-metric in a (nut)shell
• Constant curvature black holes in Einstein AdS gravity: Euclidean action and thermodynamics
• A general action for a particle in 2+1 anti-de Sitter space
• The two-body problem in 2+1 spacetime dimensions with negative cosmological constant: two point particles