Non-Abelian vortices in [formula omitted] gauge theory

Abstract

We consider the N = 1 * supersymmetric SU ( 2 ) gauge theory and demonstrate that the Z 2 vortices in this theory acquire orientational zero modes, associated with the rotation of magnetic flux inside SU ( 2 ) group, and turn into the non-Abelian strings, when the masses of all chiral fields become equal. These non-Abelian strings are not BPS-saturated. We study the effective theory on the string world sheet and show that it is given by two-dimensional non-supersymmetric O ( 3 ) sigma model. The confined 't Hooft–Polyakov monopole is seen as a junction of the Z 2 -string and anti-string, and as a kink in the effective world sheet sigma model. We calculate its mass and show that besides the four-dimensional confinement of monopoles, they are also confined in the two-dimensional theory: the monopoles stick to anti-monopoles to form the meson-like configurations on the strings they are attached to.