BPS strings and the stability of the asymptotic Casimir law in adjoint flavor-symmetric YMH models

Abstract

We investigate an effective flavor-symmetric Yang-Mills-Higgs model with $N^2-1$ adjoint scalar fields. We find a set of BPS equations that provide vortex solutions and calculate their energies for arbitrary representations. We show that, for a given N-ality $k$, the energy of the corresponding antisymmetric representation is the lowest. This completes the proof that this model is able to reproduce a Casimir law for the string tension at asymptotic distances.

arXiv comment16 pages, 4 figures

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• From center-vortex ensembles to the confining flux tube
• The infrared Yang-Mills wave functional due to percolating center vortices
• Ensembles of center vortices and chains: Insights from a natural lattice framework
• Prospecting effective Yang-Mills-Higgs models for the asymptotic confining flux tube