Extremal limits of the Cvetic-Youm black hole and nilpotent orbits of G2(2)

Details Extremal limits of the Cvetic-Youm black hole and nilpotent orbits of G2(2) Extremal limits of the Cvetic-Youm black hole and nilpotent orbits of G2(2)

2010-08-19

arxiv.org/abs/1008.3329v2

JHEP 1011:062,2010

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 2 figures; v2 two minus sign typos in appendix A equation (A.3) corrected, no other changes

Scientific paper

10.1007/JHEP11(2010)062

We study extremal cohomogeneity one five-dimensional asymptotically flat black holes of minimal supergravity in terms of the geodesics generated by nilpotent elements of the Lie algebra g2(2) on the coset manifold G2(2)/SO(2,2). There are two branches of regular extremal black holes with these properties: (i) the supersymmetric BMPV branch, and (ii) the non-supersymmetric extremal branch. We show that both of these branches are reproduced by nilpotent SO(2,2)-orbits. Furthermore, we show that the partial ordering of nilpotent orbits of G2(2) is in one-to-one correspondence with the phase diagram of these extremal black holes.

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