Seiberg duality

In quantum field theory, Seiberg duality, conjectured by Nathan Seiberg, is an S-duality relating two different supersymmetric QCDs. The two theories are not identical, but they agree at low energies. More precisely under a renormalization group flow they flow to the same IR fixed point, and so are in the same universality class.

It was first presented in Seiberg's 1994 article Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories. It is an extension to nonabelian gauge theories with N=1 supersymmetry of Montonen–Olive duality in N=4 theories and electromagnetic duality in abelian theories.

Seiberg duality is an equivalence of the IR fixed points in an N=1 theory with SU(N_c) as the gauge group and N_fflavors of fundamental chiral multiplets and N_f flavors of antifundamental chiral multiplets in the chiral limit (no bare masses) and an N=1 chiral QCD with N_f-N_c colors and N_f flavors, where N_c and N_f are positive integers satisfying

A stronger version of the duality relates not only the chiral limit but also the full deformation space of the theory. In the special case in which

the IR fixed point is a nontrivial interacting superconformal field theory. For a superconformal field theory, the anomalous scaling dimension of a chiral superfield ${\displaystyle D={\frac {3}{2}}R}$ where R is the R-charge. This is an exact result.

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