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SO(2) gauged Skyrmions in 4+1 dimensions



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Navarro Lérida, Francisco and Radu, Eugen and Tchrakian, D. H. (2020) SO(2) gauged Skyrmions in 4+1 dimensions. Physical review D, 101 (12). ISSN 1550-7998

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Official URL: https://doi.org/10.1103/PhysRevD.101.125014


We study the simplest SO(2) gauged O(5) Skyrme model 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-Chem-Simons dynamics. The considered configurations are subject to biazimuthal symmetry in the R-4 subspace resulting in a two dimensional subsystem, as well as subject to an enhanced symmetry relating the two planes in the R-4 subspace, which results in a one dimensional subsystem. Numerical solutions are constructed in both cases. In the purely magnetic case, fully biazimuthal solutions were given, while electrically charged and spinning solutions were constructed only in the radial (enhanced symmetric) case, both in the presence of a Chem-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.

Item Type:Article
Additional Information:

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. The work of E. R. is supported by the Center for Research and Development in Mathematics and Applications (CIDMA) through the Portuguese Foundation for Science and Technology (FCT-Fundacao para a Ciencia e a Tecnologia), references No. UIDB/04106/2020 and No. UIDP/04106/2020 and by national funds (OE), through FCT, I. P., in the scope of the framework contract foreseen in the numbers 4, 5 and 6 of the article 23, of the DecreeLaw 57/2016, of August 29, changed by Law 57/2017, of July 19. We acknowledge support from the projects No. PTDC/FIS-OUT/28407/2017 and No. CERN/FIS-PAR/0027/2019. This work has further been supported by the European Unions Horizon 2020 research and innovation (RISE) programme H2020-MSCA-RISE-2017 Grant No. FunFiCO-777740. The authors would like to acknowledge networking support by the COST Action CA16104.

Uncontrolled Keywords:Solitons; Model
Subjects:Sciences > Physics > Nuclear physics
ID Code:61432
Deposited On:21 Jul 2020 09:55
Last Modified:27 Jul 2020 10:20

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