Supersymmetric black rings and non-linear sigma models

Details Supersymmetric black rings and non-linear sigma models Supersymmetric black rings and non-linear sigma models

2009-01-14

arxiv.org/abs/0901.1939v1

Nucl.Phys.B829:161-175,2010

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

10.1016/j.nuclphysb.2009.12.008

In this paper we investigate the non-linear sigma model arising in the reduction of D = 5 supergravity to D = 3, and present the application of this sigma model to supersymmetric black ring solutions in five-dimensional minimal supergravity. With the ansatz of stationary solutions with $R \times U(1)\times U(1)$ isometry, we obtain a two-dimensional Lagrangian corresponding to geodesic motion of a string-like object on the coset $G_{2(+2)}/SO(4)$, and study the algebra of conserved charges and supersymmetry constraints of supersymmetric black rings. We also obtain the semi-classical wave function of supersymmetric black rings.

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