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

Yi-Xin Chen; Yong-Qiang Wang

doi:10.1088/1126-6708/2008/02/052

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arXiv · 0801.0839

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

Yi-Xin Chen·Yong-Qiang Wang

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Abstract

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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Yi-Xin Chen, Yong-Qiang Wang. 2008-02-18. First-order attractor flow equations for supersymmetric black rings in N=2, D=5 supergravity. https://doi.org/10.1088/1126-6708%2F2008%2F02%2F052

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