Some exact Bradlow vortex solutions
- 76 Downloads
We consider the Bradlow equation for vortices which was recently found by Manton and find a two-parameter class of analytic solutions in closed form on nontrivial geometries with non-constant curvature. The general solution to our class of metrics is given by a hypergeometric function and the area of the vortex domain by the Gaussian hypergeometric function.
KeywordsSolitons Monopoles and Instantons Differential and Algebraic Geometry
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
- R. Jackiw and S.-Y. Pi, Classical and quantal nonrelativistic Chern-Simons theory, Phys. Rev. D 42 (1990) 3500 [Erratum ibid. D 48 (1993) 3929] [INSPIRE].
- G.V. Dunne, R. Jackiw, S.-Y. Pi and C.A. Trugenberger, Selfdual Chern-Simons solitons and two-dimensional nonlinear equations, Phys. Rev. D 43 (1991) 1332 [Erratum ibid. D 45 (1992) 3012] [INSPIRE].