Existence of abelian BPS vortices on surfaces with Neumann boundary conditions
Abstract
Existence of abelian BPS vortices on a manifold with boundary satisfying Neumann boundary conditions is proved. Numeric solutions are constructed on the Euclidean disk, and the L2-metric of the moduli space of one vortex located at the interior of a rotationally symmetry disk is studied. The results presented extend previous work of Manton and Zhao on quotients of surfaces that admit a reflection.
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