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

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arxiv 0801.0839 v2 pith:LA5DHCNR submitted 2008-01-06 hep-th

classification hep-th
keywords equationsflowattractorfirst-ordersupersymmetricblackringssolutions
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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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