Supersymmetric black rings and non-linear sigma models Original Research Article

In this paper we investigate the non-linear sigma model arising in the reduction of image supergravity to image, 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 image isometry, we obtain a two-dimensional Lagrangian corresponding to geodesic motion of a string-like object on the coset image, and study the algebra of conserved charges and supersymmetry constraints of supersymmetric black ring.