BPS String Solutions in Non-Abelian Yang-Mills Theories and Confinement
Marco A. C. Kneipp, Patrick Brockill
Abstract
Starting from the bosonic part of N=2 Super QCD with a 'Seiberg-Witten' N=2 breaking mass term, we obtain string BPS conditions for arbitrary semi-simple gauge groups. We show that the vacuum structure is compatible with a symmetry breaking scheme which allows the existence of Zk-strings and which has Spin(10) -> SU(5) x Z2 as a particular case. We obtain BPS Zk-string solutions and show that they satisfy the same first order differential equations as the BPS string for the U(1) case. We also show that the string tension is constant, which may cause a confining potential between monopoles increasing linearly with their distance.
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