Strong versus weak coupling confinement in N = 2 supersymmetric QCD

A. Marshakov, A. Yung

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We consider N = 2 supersymmetric QCD with the gauge group S U (Nc) = SU (N + 1) and Nf number of quark matter multiplets, being perturbed by a small mass term for the adjoint matter, so that its Coulomb branch shrinks to a number of isolated vacua. We discuss the vacuum where r = N quarks develop VEV's for Nf ≥ 2 N = 2 Nc - 2 (in particular, we focus on the Nf = 2 N and Nf = 2 N + 1 cases). In the equal quark mass limit at large masses this vacuum stays at weak coupling, the low-energy theory has U (N) gauge symmetry and one observes the non-Abelian confinement of monopoles. As we reduce the average quark mass and enter the strong coupling regime the quark condensate transforms into the condensate of dyons. We show that the low energy description in the strongly-coupled domain for the original theory is given by U (N) dual gauge theory of Nf ≥ 2 N light non-Abelian dyons, where the condensed dyons still cause the confinement of monopoles, and not of the quarks, as can be thought by naive duality.

Original languageEnglish (US)
Pages (from-to)72-104
Number of pages33
JournalNuclear Physics B
Issue number1-2
StatePublished - May 21 2010
Externally publishedYes

Bibliographical note

Funding Information:
The work of AM was supported by the Russian Federal Nuclear Energy Agency , by Grant of Support for Scientific Schools LSS-1615.2008.2 , by the RFBR grants 08-01-00667 , 09-02-90493-Ukr , 09-02-93105-CNRSL , 09-01-92440-CE , by Kyoto University , and by the Dynasty Foundation . The work of AY was supported by FTPI, University of Minnesota , by the RFBR Grant 09-02-00457a and by Grant of Support for Scientific Schools LSS-11242003.2 . AM thanks IHES at Bures-sur-Yvette, where a part of this work had been done, and the Yukawa Institute for Theoretical Physics, where the work has been completed.


  • Confinement
  • Non-Abelian gauge theories
  • Supersymmetry


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