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Color superconductivity, BPS strings and monopole confinement in N=2 and N=4 super Yang-Mills theories

Marco A. C. Kneipp
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Abstract

We review some recent developments on BPS string solutions and monopole confinement in the Higgs or (color) superconducting phase of deformed N=2 and N=4 super Yang-Mills theories. In particular, the monopole magnetic fluxes are shown to be always integer linear combinations of string fluxes. Moreover, a bound for the threshold length of the string breaking is obtained. When the gauge group SU(N) is broken to Z_N, the BPS string tension satisfies the Casimir scaling law. Furthermore in the SU(3) case the string solutions are such that they allow the formation of a confining system with three monopoles.

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Marco A. C. Kneipp. 2004-01-29. Color superconductivity, BPS strings and monopole confinement in N=2 and N=4 super Yang-Mills theories. https://arxiv.org/abs/hep-th/0401234

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