# 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} }

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…

## 35 Citations

### Mass spectra in softly broken ${\cal N}=2$ SQCD

- Physics
- 2016

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…

### Softly broken ${\cal N}=2$ SQCD: mass spectra in vacua with unbroken $Z_{2N_c-N_F}$ symmetry

- Physics
- 2017

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…

### Mass spectra in $${\mathcal {N}}=1$$N=1 SQCD with additional colorless but flavored fields

- Physics
- 2017

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…

### Mass spectra in ${\cal N}=1$ SQCD with additional colorless fields. Strong coupling regimes. II

- Physics
- 2016

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 $SU(N_c)$…

### Dynamics of non-Abelian strings in supersymmetric gauge theories.

- Physics
- 2020

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…

### String baryon in four-dimensional N=2 supersymmetric QCD from the 2D-4D correspondence

- 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…

### Non-Abelian Confinement in N=2 Supersymmetric QCD: Duality and Kinks on Confining Strings

- 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…

### Non-Abelian vortex in four dimensions as a critical string on a conifold

- 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…

### r Duality and 'Instead-of-Confinement' Mechanism in N=1 Supersymmetric QCD

- 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…

### Moduli space potentials for heterotic non-Abelian flux tubes: Weak deformation

- 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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