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Excited solutions in a Skyrme-Chern-Simons model in 2+1 dimensions

Francisco Navarro-Lérida1 and D. H. Tchrakian2,3

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Phys. Rev. D 113, 125005 – Published 2 June, 2026

DOI: https://doi.org/10.1103/tcvz-yz1m

Abstract

We study excited solutions in a Skyrme-Chern-Simons theory in 2+1 dimensions. In particular, we emphasize the necessity of using a Lagrange multiplier method to obtain excited solutions, due to the appearance of a discontinuity when using a constraint compliant parametrization. These solutions are characterized by an integer number p, excited solutions corresponding to p≠0. The dependence of the global charges on the parameters is analyzed, showing nonstandard behaviors. We also find that the presence of the Skyrme-Chern-Simons term does not alter significantly the pattern of energy levels, so p=0 solutions (fundamental solutions) have always the minimal energy.

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Phys. Rev. D 113, 125005– Published 2 June, 2026
  • Received 7 April 2026
  • Accepted 30 April 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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