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

par Lindman Hornlund, Josef ;Virmani, Amitabh
Référence The journal of high energy physics (Online), 1011, page (062)
Publication Publié, 2011

Article révisé par les pairs

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Résumé :

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 g 2(2) on the coset manifold G 2(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 G 2(2) is in one-to-one correspondence with the phase diagram of these extremal black holes. © 2010 SISSA.