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arXiv · 2608.26333

Vortex-Antivortex Annihilation from BPS Equations

J. P. S. Neto·J. G. F. Campos·A. Mohammadi
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Abstract

In this work, we introduce a vortex-impurity model that admits BPS configurations containing both vortices and antivortices and allows vortex-antivortex annihilation to be described within the moduli-space approximation. For a suitable class of impurities, the BPS equations can be mapped through a coordinate transformation onto those of the impurity-free Abelian-Higgs model. In particular, we identify nonlocalized impurities that act as mirrors, generating a vortex-antivortex pair symmetrically placed with respect to the impurity. We derive the corresponding moduli-space metric and show that, within the geodesic approximation, the pair approaches the annihilation configuration asymptotically. We further extend the construction to chains and two-dimensional arrays of alternating vortices and antivortices. Finally, we introduce radial bump impurities that produce stretched and compressed vortices with nontrivial internal magnetic structures.

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J. P. S. Neto, J. G. F. Campos, A. Mohammadi. 2026-08-26. Vortex-Antivortex Annihilation from BPS Equations. https://arxiv.org/abs/2608.26333

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