Non-Abelian Strings: From Weak to Strong Coupling and Back via Duality

Details Non-Abelian Strings: From Weak to Strong Coupling and Back via Duality Non-Abelian Strings: From Weak to Strong Coupling and Back via Duality

2009-10-15

arxiv.org/abs/0910.3007v1

Physics

High Energy Physics

High Energy Physics - Theory

Plenary talk at SUSY09: 17th International Conference on Supersymmetry and the Unification of Fundamental Interactions, Northe

Scientific paper

The crossover transition from weak coupling at large \xi to strong coupling at small \xi is studied in N=2 supersymmetric gauge theory with the U(N) gauge group and N_f>N (here \xi 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 \xi. The dual gauge group is U(N_f-N). The dual theory has N_f flavors of light dyons, to be compared with N_f quarks in the original U(N) theory. Both theories support non-Abelian 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.

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