Elsevier

Physics Letters B

Volume 814, 10 March 2021, 136083
Physics Letters B

On the effects of the Chern-Simons term in an Abelian gauged Skyrme model in d = 4 + 1 dimensions

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Abstract

We study an Abelian gauged O(5) Skyrme model in 4+1 dimensions, featuring the F4 Maxwell and the Chern-Simons terms. Our aim is to expose the mechanism, discovered in the analogous Abelian gauged O(3) Skyrme model in 2+1 dimensions, which leads to the unusual relation of the mass-energy E to the electric charge Qe and angular momentum J, and, to the change in the value of the “baryon number” q due to the influence of the Abelian field on the Skyrmion. Chern-Simons dynamics together with the dynamics of the gauged Skyrme scalar, allows for solutions with varying asymptotic values of the magnetic field, resulting in these unusual properties listed. Numerical work is carried out on an effective one dimensional subsystem resulting from imposition of an enhanced radial symmetry on R4.

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