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arXiv · 2604.01005

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

Francisco Navarro-Lérida·D. H. Tchrakian
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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 $p\neq 0$. The dependence of the global charges on the parameters is analyzed, showing non-standard 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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Francisco Navarro-Lérida, D. H. Tchrakian. 2026-04-01. Excited solutions in a Skyrme--Chern-Simons model in $2+1$ dimensions. https://arxiv.org/abs/2604.01005

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