1209.5034 (Anton Galajinsky)

Near horizon black holes in diverse dimensions and integrable models    [PDF]

Anton Galajinsky

The near horizon geometry of an extremal rotating black hole in arbitrary dimension possesses SO(2,1)xU(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 Poscl-Teller system show up in the case of four and five dimensions, respectively.

View original: http://arxiv.org/abs/1209.5034