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 N2-1 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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