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

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

2004-01-29

arxiv.org/abs/hep-th/0401234v1

Braz.J.Phys. 34 (2004) 1335-1342

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, 2 figures, invited talk given at 24th Brazilian National Meeting on Particles and Fields

Scientific paper

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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