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Electric-magnetic duality in supersymmetric non-Abelian gauge theories

1994/11/20 by Nathan Seiberg, N. Seiberg · 16 citations
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Duality (order theory) #Gauge (firearms) #Gauge anomaly #Gauge theory #Geography #Mathematical physics #Mathematics #Particle physics #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #S-duality #Seiberg duality #Supersymmetric gauge theory #Theoretical physics #hep-ph #hep-th

paper · pdf · doi:10.1016/0550-3213(94)00023-8

published as Nucl.Phys.B435:129-146,1995 · 22 pages, uses harvmac

arxiv created 1994/11/20 · openalex publication_date 1995/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We demonstrate electric-magnetic duality in N=1 supersymmetric non-Abelian gauge theories in four dimensions by presenting two different gauge theories (different gauge groups and quark representations) leading to the same non-trivial long distance physics. The quarks and gluons of one theory can be interpreted as solitons (non-Abelian magnetic monopoles) of the elementary fields of the other theory. The weak coupling region of one theory is mapped to a strong coupling region of the other. When one of the theories is Higgsed by an expectation value of a squark, the other theory is confined. Massless glueballs, baryons and Abelian magnetic monopoles in the confining description are the weakly coupled elementary quarks (i.e. solitons of the confined quarks) in the dual Higgs description.

Citations

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