English

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

High Energy Physics - Theory 2015-06-18 v2 General Relativity and Quantum Cosmology Exactly Solvable and Integrable Systems

Abstract

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

Keywords

Cite

@article{arxiv.1312.7640,
  title  = {Integrable models associated with Myers-Perry-AdS-dS black hole in diverse dimensions},
  author = {Kirill Orekhov},
  journal= {arXiv preprint arXiv:1312.7640},
  year   = {2015}
}

Comments

15 pages; v.2: minor corrections added