Complex BPS Skyrmions with real energy
arXiv:2102.05781 · doi:10.1016/j.nuclphysb.2021.115516
Abstract
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.
arXiv comment21 pages, 7 figures
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Cited by in corpus (4)
- Non-Hermitian gauge field theories and BPS limits
- The phase diagram and vortex properties of PT-symmetric non-Hermitian two-component superfluid
- Linearly stable and unstable complex soliton solutions with real energies in the Bullough-Dodd model
- Complex topological soliton with real energy in particle physics