Non-Abelian string junctions as confined monopoles

By M. Shifman, A. Yung. 2004

327 citations recorded by the source corpus.

Various dynamical regimes associated with confined monopoles in the Higgs phase of $\mathcal{N}=2$ two-flavor QCD are studied. The microscopic model we deal with has the $\mathrm{SU}(2)\ifmmode\times\else\texttimes\fi{}\mathrm{U}(1)$ gauge group, with a Fayet\char21{}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 first-order equations, derivations of all relevant zero modes, and derivation of an effective low-energy theory for the corresponding collective coordinates. The macroscopic description is provided by a ${\mathrm{CP}}^{1}$ model with or without twisted mass. The confined monopoles\char22{}string junctions of the microscopic theory\char22{}are mapped onto BPS kinks of the ${\mathrm{CP}}^{1}$ model. The string junction is $\frac{1}{4}$ BPS. Masses and other characteristics of the confined monopoles are matched with those of the ${\mathrm{CP}}^{1}$-model kinks. The matching demonstrates the occurrence of an anomaly in the monopole central charge in 4D Yang\char21{}Mills theory. We study what becomes of the confined monopole in the bona fide non-Abelian 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 ${\mathrm{CP}}^{1}$ model. The monopoles, aka ${\mathrm{CP}}^{1}$-model kinks, are stabilized by nonperturbative dynamics of the ${\mathrm{CP}}^{1}$ model. We explain an earlier rather puzzling observation of a correspondence between the BPS kink spectrum in the ${\mathrm{CP}}^{1}$ model and the Seiberg\char21{}Witten solution.

Subfields: Astronomy and Astrophysics, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0c9dc70863142b7bbc9acba328376583ba9b4dd8

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In Astronomy and Astrophysics

1. M. Eto
2. Muneto Nitta
3. K. Ohashi

In Mathematical Physics

1. Y. Isozumi
2. N. Sakai
3. K. Ohashi
4. Muneto Nitta
5. M. Eto

In Nuclear and High Energy Physics

1. M. Eto
2. Muneto Nitta
3. K. Ohashi
4. Y. Isozumi
5. N. Sakai

Citations in the corpus

• Quantum vortex strings: A review (2008, unknown): “The View from the String We can describe this lifting of orientational modes from the perspective of the vortex worldsheet [13, 16, 17].”
• TOPICAL REVIEW: Solitons in the Higgs phase: the moduli matrix approach (2006, background): “In fact it was this argument for the authors in [105] to determine the Kähler class from only symmetry argument, while we have derived it in equation (3.”