Non-Abelian strings: From weak to strong coupling and back via duality

M. Shifman, A. Yung

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

The crossover transition from weak coupling at largex ξ to strong coupling at small ξ is studied in N=2 supersymmetric gauge theory with the U(N) gauge group and Nf > N (here ξ is the Fayet - Iliopoulos parameter). We find that at strong coupling a dual non-Abelian weakly coupled N=2 theory exists which describes low-energy physics at small ξ. The dual gauge group is U(Nf-N). The dual theory has Nf flavors of light dyons, to be compared with Nf quarks in the original U(N) theory. Both theories support non-Abelian semilocal strings. In each of these two regimes there are two varieties of physical excitations: elementary fields and nonperturbative composite states bound by confining strings. These varieties interchange upon transition from one regime to the other. We conjecture that the composite stringy states can be related to Seiberg's M fields.

Original languageEnglish (US)
Title of host publicationSUSY09 - The 17th International Conference on Supersymmetry and the Unification of Fundamental Interactions
Pages194-203
Number of pages10
DOIs
StatePublished - Dec 1 2009
Event17th International Conference on Supersymmetry and the Unification of Fundamental Interactions, SUSY 2009 - Boston, MA, United States
Duration: Jan 5 2009Jan 10 2009

Publication series

NameAIP Conference Proceedings
Volume1200
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other17th International Conference on Supersymmetry and the Unification of Fundamental Interactions, SUSY 2009
CountryUnited States
CityBoston, MA
Period1/5/091/10/09

Keywords

  • Duality
  • Nonperturbative supersymmetry

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    Shifman, M., & Yung, A. (2009). Non-Abelian strings: From weak to strong coupling and back via duality. In SUSY09 - The 17th International Conference on Supersymmetry and the Unification of Fundamental Interactions (pp. 194-203). (AIP Conference Proceedings; Vol. 1200). https://doi.org/10.1063/1.3327558