Near horizon black holes in diverse dimensions and integrable models

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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 languageEnglish
Article number024023
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume87
Issue number2
DOIs
Publication statusPublished - 10 Jan 2013

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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