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 the particle spectrum, emphasizing the differences between the general case and the $SU(2)$ case. Some difficulties associated with the definition of the duality transformation for a general gauge group are discussed. We compute the classical monopole spectrum of these theories, and when it is possible we use it to check the consistency of the duality. Generally these theories may have phase transitions between strong and weak coupling, which prevent the semi-classical computation from being useful for checking the duality.

33 pages, uses harvmac.tex, several modifications concerning the quantum corrections to the N_c > 3 cases are introduced and discussed

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• Solving N=2 SYM by Reflection Symmetry of Quantum Vacua
• Multi-Pronged Strings and BPS Saturated Solutions in SU(N) Supersymmetric Yang-Mills Theory
• S-duality as a beta-deformed Fourier transform
• Physical Consequences of Nonabelian Duality in the Standard Model
• The dyon spectra of finite gauge theories
• S-duality as Fourier transform for arbitrary ${\epsilon }_1,{\epsilon }_2$
• S-duality, triangle groups and modular anomalies in N=2 SQCD
• Duality Symmetries for N=2 Supersymmetric QCD with Vanishing beta-Functions
• The Proof of the Dijkgraaf-Vafa Conjecture and application to the mass gap and confinement problems
• The Nonperturbative Gauge Coupling of N=2 Supersymmetric Theories
• A Family of N=2 Gauge Theories with Exact S-Duality
• Dyon electric charge and fermion fractionalization
• Duality Symmetry in Softly Broken N=2 Gauge Theories
• Duality and Supersymmetric Monopoles
• Rudiments of Dual Feynman Rules for Yang-Mills Monopoles in Loop Space
• Matching Exact Results and One-Instanton Predictions in N=2 Supersymmetric SU(N) Theories