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arXiv · 2409.14054

Existence and Uniqueness of BPS Vacuum and Multi-vortices in Inhomogeneous Abelian Higgs Model

SeungJun Jeon·Chanju Kim·Yoonbai Kim
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Abstract

The BPS limit of the inhomogeneous abelian Higgs model is considered in $(1+2)$-dimensions. The second order Bogomolny equation is examined in the presence of an inhomogeneity expressed as a function of spatial coordinates. Assuming a physically reasonable upper bound on the $L^{2}(\mathbb{R}^{2})$ norm of the inhomogeneity function, we prove the existence and the uniqueness of nontrivial BPS vacuum solution of zero energy and topological BPS multi-vortex solutions of quantized positive energies.

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SeungJun Jeon, Chanju Kim, Yoonbai Kim. 2024-09-21. Existence and Uniqueness of BPS Vacuum and Multi-vortices in Inhomogeneous Abelian Higgs Model. https://arxiv.org/abs/2409.14054

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