The Power of Duality -- Exact Results in 4D SUSY Field Theory

Abstract

Recently the vacuum structure of a large class of four dimensional (supersymmetric) quantum field theories was determined exactly. These theories exhibit a wide range of interesting new physical phenomena. One of the main new insights is the role of ``electric-magnetic duality.'' In its simplest form it describes the long distance behavior of some strongly coupled, and hence complicated, ``electric theories'' in terms of weakly coupled ``magnetic theories.'' This understanding sheds new light on confinement and the Higgs mechanism and uncovers new phases of four dimensional gauge theories. We review these developments and speculate on the outlook.

15 pages, uses harvmac, to appear in the Proc. of PASCOS 95 and in the Proc. of the Oskar Klein lectures

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• Colored Unparticles
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• Dimensions of Supersymmetric Operators from AdS/CFT
• The fate of stringy AdS vacua and the WGC
• TASI-2002 Lectures: Non-perturbative Supersymmetry
• New N=1 dualities from orientifold transitions - Part I: Field Theory
• New N=1 dualities from orientifold transitions - Part II: String Theory
• Emergent Electroweak Symmetry Breaking with Composite W, Z Bosons
• Origin of the quantum group symmetry in 3d quantum gravity
• S-Duality and Helicity Amplitudes
• Motivations and Physical Aims of Algebraic QFT
• Vector mesons on the wall
• Duality in Topological Quantum Field Theories
• Making confining strings out of mesons
• What do Topologists want from Seiberg--Witten theory? (A review of four-dimensional topology for physicists)
• Dynamical supersymmetry breaking on magnetized tori and orbifolds
• 3d s-confinement for three-index matters
• Top and Bottom Seesaw from Supersymmetric Strong Dynamics
• Exact results in 3d $\mathcal{N}=2$ $Spin(7)$ gauge theories with vector and spinor matters
• Low-Energy Dynamics of 3d $\mathcal{N}=2$ $G_2$ Supersymmetric Gauge Theory
• Product Group S-Confinement in SUSY Gauge Theories
• Twisted Six Dimensional Gauge Theories on Tori, Matrix Models, and Integrable Systems
• Unification of Gauge and Yukawa Couplings without Symmetry
• SUSY vs LHC
• Marginal Breaking of Conformal SUSY QCD
• Non-Abelian gauge theories with composite fields in the background field method