Electric-magnetic duality in supersymmetric non-Abelian gauge theories

  title={Electric-magnetic duality in supersymmetric non-Abelian gauge theories},
  author={N. Seiberg},
  journal={Nuclear Physics},
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
Branes and Electric-Magnetic Duality in Supersymmetric QCD
Abstract We study the type IIA limit of the M-theory fivebrane configuration corresponding to N = 1 supersymmetric QCD with massless quarks. We identify the effective gauge coupling constant thatExpand
Exact electric-magnetic duality in N = 2 supersymmetric QCD theories
Abstract We analyze the Coulomb phase of theories of N =2 SQCD with SU ( N c ) gauge groups which are conjectured to have exact electric-magnetic duality. We discuss the duality transformation of theExpand
Chiral rings, anomalies and electric-magnetic duality
We study electric-magnetic duality in the chiral ring of a supersymmetric U(Nc) gauge theory with adjoint and fundamental matter, in presence of a general confining phase superpotential for theExpand
Confinement and Dynamical Symmetry Breaking in Non-SUSY Gauge Theory from S-Duality in String Theory
We discuss an attempt to understand confinement and dynamical symmetry breaking in a 4-dimensional non-supersymmetric gauge theory using S-duality in type IIB string theory. The electric theory is aExpand
Non-Abelian magnetic monopoles and dynamics of confinement
Magnetic monopoles having non-Abelian charges have been found recently to play a crucial role in the infrared in a class of supersymmetric gauge theories. We argue that these “dual quarks” canExpand
Mirror symmetry in three dimensional gauge theories
Abstract We discuss non-trivial fixed points of the renormalization group with dual descriptions in N = 4 gauge theories in three dimensions. This new duality acts as mirror symmetry, exchanging theExpand
A Comment on Duality in N=1 Supersymmetric Non -- Abelian Gauge Theories
Recently N. Seiberg has shown that certain N=1 supersymmetric Yang -- Mills theories have the property that their infrared physics can be equivalently described by {\it two different} gauge theories,Expand
Non-Abelian Confinement in N=2 Supersymmetric QCD: Duality and Kinks on Confining Strings
Recently we observed a crossover transition (in the Fayet-Iliopoulos parameter) from weak to strong coupling in N=2 supersymmetric QCD with the U(N) gauge group and N{sub f}>N quark flavors. AtExpand
S-duality in gauge theories as a canonical transformation
Abstract We show that S-duality in four dimensional non-supersymmetric abelian gauge theories can be formulated as a canonical transformation in the phase space of the theory. This transformation isExpand
First studies of the phase diagram of N=1 supersymmetric Yang-Mills theory
The behavior of supersymmetric theories at finite temperatures differs from that of other theories in certain aspects. Due to the different thermal statistics of bosons and fermions, supersymmetry isExpand


Electric - magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
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
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
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
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
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
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
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
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
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