Extremal limits of the Cvetic-Youm black hole and nilpotent orbits of G2(2)
arXiv:1008.3329 · doi:10.1007/JHEP11(2010)062
Abstract
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.
17 pages, 2 figures; v2 two minus sign typos in appendix A equation (A.3) corrected, no other changes
References in corpus (12)
- Non-Supersymmetric Attractor Flow in Symmetric Spaces
- Universal BPS structure of stationary supergravity solutions
- First Order Description of Black Holes in Moduli Space
- Non-supersymmetric microstates of the D1-D5-KK system
- First-order flow equations for extremal and non-extremal black holes
- Black Rings in Taub-NUT and D0-D6 interactions
- Stationary axisymmetric solutions of five dimensional gravity
- Extremal solutions of the S3 model and nilpotent orbits of G2(2)
- Black holes in supergravity and integrability
- Reduction without reduction: Adding KK-monopoles to five dimensional stationary axisymmetric solutions
- Exact Solutions and the Attractor Mechanism in Non-BPS Black Holes
- 5D Black Holes and Non-linear Sigma Models
Cited by in corpus (6)
- Subtracted Geometry From Harrison Transformations
- On Extremal Limits and Duality Orbits of Stationary Black Holes
- Geroch Group Description of Black Holes
- Subtracted Geometry from Harrison Transformations: II
- Attractors and first order formalism in five dimensions revisited
- On the symmetry orbits of black holes in non-linear sigma models