2020/03/31 by Francisco Navarro-Lerida, Eugen Radu, D. H. Tchrakian · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevd.101.125014
published as Phys. Rev. D 101, 125014 (2020) · 18 pages, 12 figures; matches version accepted in PRD
arxiv created 2020/06/05 · arxiv updated 2020/07/01
We study the simplest SO(2) gauged O(5) Skyrme models in 4+1 (flat) dimensions. In the gauge decoupled limit, the model supports topologically stable solitons (Skyrmions) and after gauging, the static energy of the solutions is bounded from below by a "baryon number". The studied model features both Maxwell and Maxwell--Chern-Simons dynamics. The considered configurations are subject to bi-azimuthal symmetry in the \mathbb R4 subspace resulting in a two dimensional subsystem, as well as subject to an enhanced symmetry relating the two planes in the \mathbb R4 subspace, which results in a one dimensional subsystem. Numerical solutions are constructed in both cases. In the purely magnetic case, fully bi-azimuthal solutions were given, while electrically charged and spinning solutions were constructed only in the radial (enhanced symmetric) case, both in the presence of a Chern-Simons term, and in its absence. We find that, in contrast with the analogous models in 2+1 dimensions, the presence of the Chern-Simons term in the model under study here results only in quantitative effects.