Abstract
The near horizon geometry of extremal rotating black hole in arbitrary dimension possesses SO(2,1)×U(n) symmetry in the special case that all n rotation parameters are equal. We consider a conformal particle associated with such a maximally symmetric configuration and derive from it a new integrable Hamiltonian mechanics with U(n) symmetry. A further reduction of the model is discussed, which is obtained by discarding cyclic variables. A variant of the Higgs oscillator and the Pöschl-Teller system show up in four and five dimensions, respectively.
Original language | English |
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Article number | 024023 |
Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
Volume | 87 |
Issue number | 2 |
DOIs | |
Publication status | Published - 10 Jan 2013 |
ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)