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Complex BPS Skyrmions with real energy

Correa, F., Fring, A. ORCID: 0000-0002-7896-7161 & Taira, T. (2021). Complex BPS Skyrmions with real energy. Nuclear Physics B, 971, article number 115516. doi: 10.1016/j.nuclphysb.2021.115516


We propose and investigate several complex versions of extensions and restrictions of the Skyrme model with a well-defined Bogomolny-Prasad-Sommerfield (BPS) limit. The models studied possess complex kink, anti-kink, semi-kink, massless and purely imaginary compacton BPS solutions that all have real energies. The reality of the energies for a particular solution is guaranteed when a modified antilinear CPT-symmetry maps the Hamiltonian functional to its parity time-reversed complex conjugate and the solution field to itself or a new field with degenerate energy. In addition to the known BPS Skyrmion configurations we find new types that we refer to as step, cusp, shell, and purely imaginary compacton solutions.

Publication Type: Article
Additional Information: © 2021 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Departments: School of Science & Technology > Mathematics
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