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arXiv · 1701.04356

Some exact Bradlow vortex solutions

Sven Bjarke Gudnason·Muneto Nitta
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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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Sven Bjarke Gudnason, Muneto Nitta. 2017-05-08. Some exact Bradlow vortex solutions. https://doi.org/10.1007/jhep05(2017)039

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