Built on

G. Bossard, H. Nicolai, “Multi-black holes from nilpotent Lie algebra orbits,” Gen. Rel. Grav. 42
Original
1987
Earlier work this paper cites.
J. Sekiguchi, “Remarks on real nilpotent orbits of a symmetric pair,” J. Math. Soc. Japan 39
1987
Earlier work this paper cites.
P. Breitenlohner, D. Maison and G. W. Gibbons, “Four-dimensional black holes from Kaluza–Klein theories,” Commun. Math. Phys. 120
1988
Earlier work this paper cites.
D. Collingwood and W. McGovern, “Nilpotent orbits in semisimple Lie algebras” Van Nostrand Reinhold Mathematics Series, New York, 1993
1993
Earlier work this paper cites.
A. Strominger, C. Vafa, “Microscopic origin of the Bekenstein-Hawking entropy,” Phys. Lett. B379
1996
Earlier work this paper cites.
K. Behrndt, R. Kallosh, J. Rahmfeld et al
1996
Earlier work this paper cites.
F. Denef, “Supergravity flows and D D -brane stability,” JHEP 0008
2000
Earlier work this paper cites.
D. Ž. D –
2001
Earlier work this paper cites.
K. Goldstein, N. Iizuka, R. P. Jena and S. P. Trivedi, “Non-supersymmetric attractors,” Phys. Rev. D 72
2005
Earlier work this paper cites.
R. Emparan and G. T. Horowitz, “Microstates of a neutral black hole in M theory,” Phys. Rev. Lett. 97
2006
Earlier work this paper cites.
I. Bena, N. P. Warner, “Bubbling supertubes and foaming black holes,” Phys. Rev. D74
2006
Earlier work this paper cites.

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Then

E. G. Gimon, F. Larsen and J. Simon, “Constituent Model of Extremal non-BPS Black Holes,” JHEP 0907
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2009
Later among the works it cites.
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G. Bossard, H. Nicolai and K. S. Stelle, “Universal BPS structure of stationary supergravity solutions,” JHEP 0907
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2009
Later among the works it cites.
A. Ceresole, G. Dall’Agata, S. Ferrara and A. Yeranyan, “First order flows for 𝒩 = 2 \mathcal{N}=2 extremal black holes and duality invariants,” Nucl. Phys. B 824
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2011

Interacting non-BPS black holes

Bossard, Guillaume, Ruef, Clement

Understand

We explain how to exploit systematically the structure of nilpotent orbits to obtain a solvable system of equations describing extremal solutions of (super-)gravity theories, i.e.

systems that can be solved in a linear way.
We present the procedure in the case of the STU model, where we show that all extremal solutions with a flat three-dimensional base are fully described with the help of three different nilpotent orbits: the BPS, the almost-BPS and the composite non-BPS.
The latter describes a new class of solutions for which the orientation of half of the constituent branes have been inverted with respect to the BPS one, such that all the centres are intrinsically non-BPS, and interact with each others.

Built on

G. Bossard, H. Nicolai, “Multi-black holes from nilpotent Lie algebra orbits,” Gen. Rel. Grav. 42
Original
1987
Earlier work this paper cites.
J. Sekiguchi, “Remarks on real nilpotent orbits of a symmetric pair,” J. Math. Soc. Japan 39
1987
Earlier work this paper cites.
P. Breitenlohner, D. Maison and G. W. Gibbons, “Four-dimensional black holes from Kaluza–Klein theories,” Commun. Math. Phys. 120
1988
Earlier work this paper cites.
D. Collingwood and W. McGovern, “Nilpotent orbits in semisimple Lie algebras” Van Nostrand Reinhold Mathematics Series, New York, 1993
1993
Earlier work this paper cites.
A. Strominger, C. Vafa, “Microscopic origin of the Bekenstein-Hawking entropy,” Phys. Lett. B379
1996
Earlier work this paper cites.
K. Behrndt, R. Kallosh, J. Rahmfeld et al
1996
Earlier work this paper cites.
F. Denef, “Supergravity flows and D D -brane stability,” JHEP 0008
2000
Earlier work this paper cites.
D. Ž. D –
2001
Earlier work this paper cites.
K. Goldstein, N. Iizuka, R. P. Jena and S. P. Trivedi, “Non-supersymmetric attractors,” Phys. Rev. D 72
2005
Earlier work this paper cites.
R. Emparan and G. T. Horowitz, “Microstates of a neutral black hole in M theory,” Phys. Rev. Lett. 97
2006
Earlier work this paper cites.
I. Bena, N. P. Warner, “Bubbling supertubes and foaming black holes,” Phys. Rev. D74
2006
Earlier work this paper cites.

Similar

P. Berglund, E. G. Gimon, T. S. Levi, “Supergravity microstates for BPS black holes and black rings,” JHEP 0606
2006
Cited alongside, same era.
A. Saxena, G. Potvin, S. Giusto, A. W. Peet, “Smooth geometries with four charges in four dimensions,” JHEP 0604
Original
2006
Cited alongside, same era.
A. Dabholkar, A. Sen and S. P. Trivedi, “Black hole microstates and attractor without supersymmetry,” JHEP 0701
2007
Cited alongside, same era.
A. Ceresole, G. Dall’Agata, “Flow equations for non-BPS extremal black holes,” JHEP 0703
2007
Cited alongside, same era.
G. Lopes Cardoso, A. Ceresole, G. Dall’Agata et al
Original
2007
Cited alongside, same era.