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

2004/01/29 by Marco A. C. Kneipp
Physics and Astronomy · #hep-th #hep-lat #hep-ph

paper · pdf

published as Braz.J.Phys. 34 (2004) 1335-1342 · 9 pages, 2 figures, invited talk given at 24th Brazilian National Meeting on Particles and Fields

arxiv created 2004/01/29 · arxiv updated 2009/12/01

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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