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Superintegrable models related to near horizon extremal Myers-Perry black hole in arbitrary dimension

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Abstract

We provide a systematic account of integrability of the spherical mechanics associated with the near horizon extremal Myers-Perry black hole in arbitrary dimension for the special case that all rotation parameters are equal. It is demonstrated that the spherical mechanics associated with the black hole in d = 2n + 1 is maximally superintegrable, while its counterpart related to the black hole in d = 2n lacks for only one integral of motion to be maximally superintegrable.

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Authors and Affiliations

  1. Tomsk Polytechnic University, Lenin Ave. 30, 634050, Tomsk, Russia

    Anton Gala**sky

  2. Yerevan State University, 1 Alex Manoogian St., Yerevan, 0025, Armenia

    Armen Nersessian & Armen Saghatelian

Authors
  1. Anton Gala**sky
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  2. Armen Nersessian
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  3. Armen Saghatelian
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Correspondence to Anton Gala**sky.

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ArXiv ePrint: 1303.4901

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Gala**sky, A., Nersessian, A. & Saghatelian, A. Superintegrable models related to near horizon extremal Myers-Perry black hole in arbitrary dimension. J. High Energ. Phys. 2013, 2 (2013). https://doi.org/10.1007/JHEP06(2013)002

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  • DOI: https://doi.org/10.1007/JHEP06(2013)002

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