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 | |
| Publication status | Published - 10 Jan 2013 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)
Cite this
Near horizon black holes in diverse dimensions and integrable models. / Galajinsky, Anton.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 87, No. 2, 024023, 10.01.2013.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Near horizon black holes in diverse dimensions and integrable models
AU - Galajinsky, Anton
PY - 2013/1/10
Y1 - 2013/1/10
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=84872260039&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84872260039&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.87.024023
DO - 10.1103/PhysRevD.87.024023
M3 - Article
VL - 87
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 2
M1 - 024023
ER -