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

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 $C{Y}_3$. 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.

18 pages, no figure, the references are added

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Cited by in corpus (3)

• Entropy of Pairs of Dual Attractors in 6D/7D
• BPS and non BPS 7D Black Attractors in M-Theory on K3
• Supersymmetric black rings and non-linear sigma models