Integrable models associated with Myers-Perry-AdS-dS black hole in diverse dimensions
arXiv:1312.7640 · doi:10.1016/j.geomphys.2014.09.008
Abstract
Myers-Perry-AdS-dS black hole exhibits SO(2,1)xU(n) symmetry in the near horizon limit in the special case that all rotation parameters are equal. We consider a massive relativistic particle propagating on such a background and reduce it to superintegrable spherical mechanics with U(n) symmetry. A complete set of functionally independent u(n) generators realized in the model is given.
15 pages; v.2: minor corrections added
References in corpus (6)
- Kerr-AdS/CFT Correspondence in Diverse Dimensions
- Separability of the Hamilton-Jacobi and Klein-Gordon Equations in Kerr-de Sitter Metrics
- Particle dynamics on AdS_2 x S^2 background with two-form flux
- Particle dynamics near extreme Kerr throat and supersymmetry
- N=4 superconformal mechanics as a Non linear Realization
- Near-horizon dynamics of particle in extreme Reissner-Nordström and Clément-Gal'tsov black hole backgrounds: action-angle variables