### Abstract

Myers-Perry-AdS-dS black hole exhibits SO(2, 1). ×. U(. 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 angular mechanics with U(. n) symmetry. A complete set of functionally independent u(. n) generators realized in the model is given.

Original language | English |
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Pages (from-to) | 467-475 |

Number of pages | 9 |

Journal | Journal of Geometry and Physics |

Volume | 86 |

DOIs | |

Publication status | Published - 1 Dec 2014 |

### Fingerprint

### Keywords

- Conformal mechanics
- Integrable models
- Myers-Perry-AdS-dS black hole

### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Geometry and Topology

### Cite this

**Integrable models associated with Myers-Perry-AdS-dS black hole in diverse dimensions.** / Orekhov, Kirill.

Research output: Contribution to journal › Article

*Journal of Geometry and Physics*, vol. 86, pp. 467-475. https://doi.org/10.1016/j.geomphys.2014.09.008

}

TY - JOUR

T1 - Integrable models associated with Myers-Perry-AdS-dS black hole in diverse dimensions

AU - Orekhov, Kirill

PY - 2014/12/1

Y1 - 2014/12/1

N2 - Myers-Perry-AdS-dS black hole exhibits SO(2, 1). ×. U(. 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 angular mechanics with U(. n) symmetry. A complete set of functionally independent u(. n) generators realized in the model is given.

AB - Myers-Perry-AdS-dS black hole exhibits SO(2, 1). ×. U(. 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 angular mechanics with U(. n) symmetry. A complete set of functionally independent u(. n) generators realized in the model is given.

KW - Conformal mechanics

KW - Integrable models

KW - Myers-Perry-AdS-dS black hole

UR - http://www.scopus.com/inward/record.url?scp=84908447730&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84908447730&partnerID=8YFLogxK

U2 - 10.1016/j.geomphys.2014.09.008

DO - 10.1016/j.geomphys.2014.09.008

M3 - Article

VL - 86

SP - 467

EP - 475

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

SN - 0393-0440

ER -