Theory HEP Seminar

2D to 4D Correspondence: Towers of Kinks versus Towers of Monopoles

Pavel Bolokhov

University of Minnesota

Two-dimensional models provide for a very attractive playground being a theory imitating some of the main features of QCD. Those include the asymptotic freedom, mass gap, confinement, chiral symmetry breaking and others. Furthermore, there is a correspondence between the spectra of four-dimensional SQCD and N=(2,2) CP(N-1) sigma model which was discovered more than a decade ago. This correspondence was explained later when it was found that SQCD supports non-Abelian strings with confined monopoles. The kinks of the two-dimensional theory are the monopoles attached to the strings. Thus, analysis of two-dimensional sigma models gives a deeper insight into the four-dimensional SQCD, in particular, into its strong dynamics

We study the BPS spectrum of the N=(2,2) CP(N-1) model with the Z_N-symmetric twisted mass terms. We focus on analysis of the “extra” towers of states found previously and compare them to the states that can be identified in the quasiclassical domain. Exact analysis of the strong-coupling states shows that not all of them survive when passing to the weak-coupling domain. Some of the states decay on the curves of the marginal stability (CMS). Thus, most of the strong coupling states do not exist at weak coupling and cannot be classified quasiclassically. This result lifts to four dimensions. In terms of the four-dimensional theory, the “extra” states are the strong coupling dyons, while the quasiclassical bound states are the bound states of dyons and quarks.