Near horizon black holes in diverse dimensions and integrable models

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
Article number	024023
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	87
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevD.87.024023
Publication status	Published - 10 Jan 2013

ASJC Scopus subject areas

Nuclear and High Energy Physics
Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.87.024023

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AB - 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.

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Near horizon black holes in diverse dimensions and integrable models

Abstract

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