# Electric-magnetic duality in supersymmetric non-Abelian gauge theories

@article{Seiberg1994ElectricmagneticDI,
title={Electric-magnetic duality in supersymmetric non-Abelian gauge theories},
author={N. Seiberg},
journal={Nuclear Physics},
year={1994},
volume={435},
pages={129-146}
}
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… Expand
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#### References

SHOWING 1-10 OF 53 REFERENCES
Electric - magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
• Physics
• 1994
Abstract We study the vacuum structure and don spectrum of N =2 supersymmetric gauge theory in four dimensions, with gauge group SU(2). The theory turns out to have remarkably rich and physicalExpand
Instantons in supersymmetric theories
• Physics
• 1983
Abstract Instanton effects are considered for a sample of supersymmetric theories, namely, quantum mechanics, gluodynamics, Higgs model. The problem is how to reconcile the apparent lack of theExpand
Field dependent gauge couplings in locally supersymmetric effective quantum field theories
• Physics
• 1994
Abstract We investigate the field dependence of the gauge couplings of locally supersymmetric effective quantum field theories. We find that the Weyl rescaling of supergravity gives rise toExpand
Exact Gell-Mann-Low Function of Supersymmetric Yang-Mills Theories from Instanton Calculus
• Physics
• 1983
Abstract The instanton contribution to the vacuum energy in supersymmetric Yang-Mills theories is considered. Using the renormalizability of the theory we find the exact beta function for n -extendedExpand
Dynamical supersymmetry breaking in supersymmetric QCD
• Physics
• 1984
The massless limit of supersymmetric QCD with Nƒ flavors and N colors is analyzed in detail. For Nƒ < N there is a unique superpotential which might be generated by non-perturbative effects. We showExpand
On holomorphic dependence and infrared effects in supersymmetric gauge theories
• Physics
• 1991
Abstract According to general theorems in supersymmetric gauge theories the chiral quantities should depend on the chiral parameters in a holomorphic way. By chiral parameters we mean the complexExpand
On the phase structure of vector-like gauge theories with massless fermions
• Physics
• 1982
Abstract We present a systematic expansion for studying an infrared-stable fixed point of gauge theories with massless fermions. These results are combined with information from strong coupling andExpand
Gauge theories and magnetic charge
• Physics
• 1977
Abstract If the magnetic field for an exact gauge group H (assumed compact and connected) exhibits an inverse square law behaviour at large distances then the generalized magnetic charge, appearingExpand
Dynamical Supersymmetry Breaking in Four-Dimensions and Its Phenomenological Implications
• Physics
• 1985
It is now established that the non-renormalization theorems are violated by non-perturbative effects in many four-dimensional supersymmetric theories, and that dynamical supersymmetry-breaking (DSB)Expand
The Power of Holomorphy -- Exact Results in 4D SUSY Field Theories
Holomorphy of the superpotential and of the coefficient of the gauge kinetic terms in supersymmetric theories lead to powerful results. They are the underlying conceptual reason for the importantExpand