# Non-Abelian duality and confinement in N=2 supersymmetric QCD

@article{Shifman2009NonAbelianDA,
title={Non-Abelian duality and confinement in N=2 supersymmetric QCD},
author={Mikhail Shifman and Alexei V Yung},
journal={Physical Review D},
year={2009},
volume={79},
pages={125012}
}
• Published 6 April 2009
• Mathematics
• Physical Review D
In $\mathcal{N}=2$ supersymmetric QCD with the $\mathrm{U}(N)$ gauge group and ${N}_{f}gN$ we study the crossover transition from the weak coupling regime at large $\ensuremath{\xi}$ to strong coupling at small $\ensuremath{\xi}$, where $\ensuremath{\xi}$ is the Fayet-Iliopoulos parameter. We find that at strong coupling a dual non-Abelian weakly coupled $\mathcal{N}=2$ theory exists, which describes low-energy physics at small $\ensuremath{\xi}$. The dual gauge group is $\mathrm{U}({N}_{f… ## Figures from this paper Considered are${\cal N}=2\, SU(N_c)$or$U(N_c)$SQCD with$N_F<2N_c-1$quark flavors with the quark mass term$m{\rm Tr}\,({\bar Q} Q)$in the superpotential.${\cal N}=2$supersymmetry is softly Considered are${\cal N}=2\, SU(N_c)$or$U(N_c)$SQCD with$N_F<2N_c-1$equal mass quark flavors.${\cal N}=2$supersymmetry is softly broken down to${\cal N}=1$by the mass term$\mu_{\rm x}{\rm
Considered is the $$\mathcal{N}=1$$N=1 supersymmetric QCD-like $$\Phi$$Φ-theory with $$SU(N_c)$$SU(Nc) colors and $$0< N_F<2N_c$$0<NF<2Nc flavors of light quarks
This paper continues our studies in arXiV:1608.06452 [hep-th] of ${\cal N}=1$ gauge theories in the strongly coupled regimes. We also consider here the ${\cal N}=1$ SQCD-like theories with $SU(N_c)$
This thesis is devoted to studying strong coupling phenomena (and confinement in particular) in supersymmetric gauge theories. The central object of investigation is the non-Abelian string that is
• Physics
• 2020
We study non-Abelian vortex strings in four-dimensional (4D) $\mathcal{N}=2$ supersymmetric QCD with the $\mathrm{U}(N=2)$ gauge group and ${N}_{f}=4$ flavors of quark hypermultiplets. It has
• Physics
• 2010
Recently we observed a crossover transition (in the Fayet-Iliopoulos parameter) from weak to strong coupling in N=2 supersymmetric QCD with the U(N) gauge group and N{sub f}>N quark flavors. At
• Mathematics
• 2016
Non-Abelian vortex strings supported in a certain four-dimensional $\mathcal{N}=2$ Yang-Mills theory with fundamental matter were shown [1] to become critical superstrings. In addition to
• Physics
• 2012
We consider N=2 SQCD with the U(N) gauge group and N_f flavors (N_f>N) perturbed by an N=2 breaking deformation - a small mass term \mu for the adjoint matter. We study r-vacua, with the constraint
• Physics
• 2010
We consider N=2 supersymmetric QCD with the U(N) gauge group (with no Fayet-Iliopoulos term) and N{sub f} flavors of massive quarks deformed by the mass term {mu} for the adjoint matter, W={mu}A{sup

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