Hidden Supersymmetry in Dirac Fermion Quasinormal Modes of Black Holes
arXiv:1204.2395 · doi:10.1142/S0217751X13500577
Abstract
We connect the quasinormal modes corresponding to Dirac fermions in various black holes backgrounds to an N=2 supersymmetric quantum mechanics algebra, which can be constructed from the radial part of the fermionic solutions of the Dirac equation. In the massless fermion case, the quasinormal modes are in bijective correspondence with the zero modes of the fermionic system and this results to unbroken supersymmetry. The massive case is more evolved but as we prove, supersymmetry remains unbroken even in this case.
References in corpus (14)
- Quasinormal modes of black holes: from astrophysics to string theory
- Self-isospectrality, special supersymmetry, and their effect on the band structure
- Analytic Study of Rotating Black-Hole Quasinormal Modes
- Hierarchy of N=8 Mechanics Models
- N = 4 mechanics of general (4, 4, 0) multiplets
- Finite-gap systems, tri-supersymmetry and self-isospectrality
- Dirac quasinormal modes of D-dimensional de Sitter spacetime
- Absorption and quasinormal modes of classical fields propagating on 3D and 4D de Sitter spacetime
- Exotic supersymmetry of the kink-antikink crystal, and the infinite period limit
- Supersymmetry and Gravitational Duality
- N=4 Supersymmetric Landau Models
- Classical stability of black holes under massless Dirac perturbations
- De Sitter Cosmic Strings and Supersymmetry
- Analytical treatment of SUSY Quasi-normal modes in a non-rotating Schwarzschild black hole