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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. ==The statement of Seiberg duality== Seiberg duality is an equivalence of the IR fixed points in an ''N''=1 theory with SU(Nc) as the gauge group and Nf flavors of fundamental chiral multiplets and Nf flavors of antifundamental chiral multiplets in the chiral limit (no bare masses) and an N=1 chiral QCD with Nf-Nc colors and Nf flavors, where Nc and Nf 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 where R is the R-charge. This is an exact result. The dual theory contains a fundamental "meson" chiral superfield M which is color neutral but transforms as a bifundamental under the flavor symmetries. \,(1,N_f)_ |- | | |- | | |} The dual theory contains the superpotential . 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Seiberg duality」の詳細全文を読む スポンサード リンク
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