First-order attractor flow equations for supersymmetric black rings in N=2, D=5 supergravity

Details First-order attractor flow equations for supersymmetric black rings in N=2, D=5 supergravity First-order attractor flow equations for supersymmetric black rings in N=2, D=5 supergravity

2008-01-06

arxiv.org/abs/0801.0839v2

JHEP0802:052,2008

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, no figure, the references are added

Scientific paper

10.1088/1126-6708/2008/02/052

In this paper we investigate the attractor mechanism in the five dimensional low energy supergravity theory corresponding to M-theory compactified on a Calabi-Yau threefold $CY_3$. Using very special geometry, we derive the general first-order attractor flow equations for BPS and non-BPS solutions in five-dimensional Gibbons-Hawking spaces. Especially, considering the supersymmetric solution, we obtain the first-order flow equations for supersymmetric (multi)black rings. We also solve the flow equations and discuss some properties of the solutions of flow equations.

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