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<p>Existence of abelian BPS vortices on a manifold with boundary satisfying Neumann boundary conditions is proved. Numerical solutions are constructed on the Euclidean disk, and the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(L^2\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>L</mi> <mn>2</mn> </msup> </math></EquationSource> </InlineEquation>-metric of the moduli space of one vortex located at the interior of a rotationally symmetric disk is studied. The results presented extend previous work of Manton and Zhao on quotients of surfaces that admit a reflection.</p>

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Existence of Abelian BPS Vortices on Surfaces with Neumann Boundary Conditions

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  • 发表日期：

    2025年10月10日

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  • René García-Lara

摘要

Existence of abelian BPS vortices on a manifold with boundary satisfying Neumann boundary conditions is proved. Numerical solutions are constructed on the Euclidean disk, and the \(L^2\) L 2 -metric of the moduli space of one vortex located at the interior of a rotationally symmetric disk is studied. The results presented extend previous work of Manton and Zhao on quotients of surfaces that admit a reflection.