Supersymmetric black rings and non-linear sigma models

作者:Chen, Yi-Xin*; Wang, Yong-Qiang
来源:Nuclear Physics B, 2010, 829(1-2): 161-175.
DOI:10.1016/j.nuclphysb.2009.12.008

摘要

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 x U(1) x 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 ring.