Nonabelian Superconductors: Vortices and Confinement in ${\cal N}=2$ SQCD

Details Nonabelian Superconductors: Vortices and Confinement in ${\cal N}=2$ SQCD Nonabelian Superconductors: Vortices and Confinement in ${\cal N}=2$ SQCD

2003-07-30

arxiv.org/abs/hep-th/0307287v2

Nucl.Phys.B673:187-216,2003

Physics

High Energy Physics

High Energy Physics - Theory

37 pages Latex, 6 eps figures, Typos corrected and a few sentences added or corrected

Scientific paper

10.1016/j.nuclphysb.2003.09.029

We study nonabelian vortices (flux tubes) in SU(N) gauge theories, which are responsible for the confinement of (nonabelian) magnetic monopoles. In particular a detailed analysis is given of ${\cal N}=2$ SQCD with gauge group SU(3) deformed by a small adjoint chiral multiplet mass. Tuning the bare quark masses (which we take to be large) to a common value $m$, we consider a particular vacuum of this theory in which an SU(2) subgroup of the gauge group remains unbroken. We consider $5 \ge N_f \ge 4$ flavors so that the SU(2) sub-sector remains non asymptotically free: the vortices carrying nonabelian fluxes may be reliably studied in a semi-classical regime. We show that the vortices indeed acquire exact zero modes which generate global rotations of the flux in an $SU(2)_{C+F}$ group. We study an effective world-sheet theory of these orientational zero modes which reduces to an ${\cal N}=2$ O(3) sigma model in (1+1) dimensions. Mirror symmetry then teaches us that the dual SU(2) group is not dynamically broken.

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