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

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