Seiberg Duality - Relations Between The Original and Dual Theories

Relations Between The Original and Dual Theories

Being an S-duality, Seiberg duality relates the strong coupling regime with the weak coupling regime, and interchanges chromoelectric fields (gluons) with chromomagnetic fields (gluons of the dual gauge group), and chromoelectric charges (quarks) with nonabelian 't Hooft-Polyakov monopoles. In particular, the Higgs phase is dual to the confinement phase as in the dual superconducting model.

The mesons and baryons are preserved by the duality. However in the electric theory the meson is a quark bilinear, while in the magnetic theory it is a fundamental field. In both theories the baryons are constructed from quarks, but the number of quarks in one baryon is the rank of the gauge group, which differs in the two dual theories.

The gauge symmetries of the theories do not agree, which is not problematic as the gauge symmetry is a feature of the formulation and not of the fundamental physics. The global symmetries relate distinct physical configurations and so they need to agree in any dual description.

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