A Diagramatic Analysis of Duality in Supersymmetric Gauge Theories

Abstract

We introduce a diagramatic notation for supersymmetric gauge theories. The notation is a tool for exploring duality and helps to present the field content of more complicated models in a simple visual way. We introduce the notation with a few examples from the literature. The power of the formalism allows us to study new models with gauge group $(SU(N){)}^k$ and their duals. Amongst these are models which, contrary to a naive analysis, possess no conformal phase.

20 pages, LaTeX, figures included

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• Duality of Non-Supersymmetric Large N Gauge Theories
• Chiral Gauge Theories from D-Branes
• Self-Dual N=1 SUSY Gauge Theories
• Superconformal N=1 Gauge Theories, beta-Function Invariants and their Behavior under Seiberg Duality
• 't Hooft Conditions in Supersymmetric Dual Theories