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July 29, 2026The European Physical Journal COpen Access

BPS lumps in the nonminimal {C}P¹ Maxwell–Chern–Simons model

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Authors

FLF. C. E. LimaICI. B. CunhaAVAldo Vera

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Overview

Randomized trial demonstrates the existence of self-dual solitons in the C P 1 model, suggesting stability in nonminimal interactions.

Key Points

  • The research aims to explore self-dual configurations in the C P 1 Maxwell–Chern–Simons model under nonminimal couplings.
  • Constructed classical mappings from the nonlinear O(3)-sigma model to the C P 1 model.
  • Implemented the Bogomol’nyi procedure to derive BPS equations and self-interaction potentials.
  • Conducted numerical analysis of the BPS equations for solution verification.
  • Confirmed that the magnetic flux is quantized and fixed by gauge field behavior at infinity.
  • Demonstrated that solutions are regular, localized, and free of singularities with confined magnetic flux.
  • Showed that configurations maintain a nontrivial localized electric field, governed by the target-space geometry.

Cite This Study

Lima et al. (2026) studied this question.

synapsesocial.com/papers/6a69a26dc8da07d9defa5cbehttps://doi.org/10.1140/epjc/s10052-026-16131-y
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