NonAbelian string junctions as confined monopoles
Abstract
Various dynamical regimes associated with confined monopoles in the Higgs phase of N=2 twoflavor QCD are studied. The microscopic model we deal with has the SU(2)×U(1) gauge group, with a Fayet Iliopoulos term of the U(1) factor, and large and (nearly) degenerate mass terms of the matter hypermultiplets. We present a complete quasiclassical treatment of the BPS sector of this model, including the full set of the firstorder equations, derivations of all relevant zero modes, and derivation of an effective lowenergy theory for the corresponding collective coordinates. The macroscopic description is provided by a CP^{1} model with or without twisted mass. The confined monopoles—string junctions of the microscopic theory—are mapped onto BPS kinks of the CP^{1} model. The string junction is 1/4 BPS. Masses and other characteristics of the confined monopoles are matched with those of the CP^{1}model kinks. The matching demonstrates the occurrence of an anomaly in the monopole central charge in 4D Yang Mills theory. We study what becomes of the confined monopole in the bona fide nonAbelian limit of degenerate mass terms where a global SU(2) symmetry is restored. The solution of the macroscopic model is known, e.g., from the mirror description of the CP^{1} model. The monopoles, aka CP^{1}model kinks, are stabilized by nonperturbative dynamics of the CP^{1} model. We explain an earlier rather puzzling observation of a correspondence between the BPS kink spectrum in the CP^{1} model and the Seiberg Witten solution.
 Publication:

Physical Review D
 Pub Date:
 August 2004
 DOI:
 10.1103/PhysRevD.70.045004
 arXiv:
 arXiv:hepth/0403149
 Bibcode:
 2004PhRvD..70d5004S
 Keywords:

 11.27.+d;
 11.10.Lm;
 11.25.Uv;
 11.30.Pb;
 Extended classical solutions;
 cosmic strings domain walls texture;
 Nonlinear or nonlocal theories and models;
 D branes;
 Supersymmetry;
 High Energy Physics  Theory;
 High Energy Physics  Phenomenology
 EPrint:
 57 pages, 9 eps figures. One reference and a comment added