Symmetries of the near horizon of a Black Hole by Group Theoretic methods
arXiv:hep-th/0610330 · doi:10.1142/S0217751X07034489
Abstract
We use group theoretic methods to obtain the extended Lie point symmetries of the quantum dynamics of a scalar particle probing the near horizon structure of a black hole. Symmetries of the classical equations of motion for a charged particle in the field of an inverse square potential and a monopole, in the presence of certain model magnetic fields and potentials are also studied. Our analysis gives the generators and Lie algebras generating the inherent symmetries.
To appear in Int. J. Mod. Phys. A
References in corpus (5)
- Near-Horizon Conformal Structure of Black Holes
- Nonlinear holomorphic supersymmetry, Dolan-Grady relations and Onsager algebra
- Nonlinear supersymmetry on the plane in magnetic field and quasi-exactly solvable systems
- Lorenz integrable system moves à la Poinsot
- Nonlinear superconformal symmetry of a fermion in the field of a Dirac monopole