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arXiv · 2008.01249

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

D. R. Junior·L. E. Oxman·G. M. Simões
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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.

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D. R. Junior, L. E. Oxman, G. M. Simões. 2020-08-04. BPS strings and the stability of the asymptotic Casimir law in adjoint flavor-symmetric YMH models. https://doi.org/10.1103/physrevd.102.074005

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