Abstract
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.
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ArXiv ePrint: 1701.04356
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Gudnason, S.B., Nitta, M. Some exact Bradlow vortex solutions. J. High Energ. Phys. 2017, 39 (2017). https://doi.org/10.1007/JHEP05(2017)039
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DOI: https://doi.org/10.1007/JHEP05(2017)039