Duality in Quantum Field Theory (and String Theory)
Luis Alvarez-Gaume, Frederic Zamora
TL;DR
This paper introduces the concept of duality in Quantum Field Theory, exploring its implications for gauge theories, confinement, and supersymmetric models, with brief discussions on extensions to String Theory.
Contribution
It provides an overview of duality concepts, including electric-magnetic duality, and reviews exact results in supersymmetric QCD and Seiberg-Witten solutions, connecting them to String Theory.
Findings
Electric-magnetic duality explains confinement mechanisms.
Exact solutions in supersymmetric QCD are reviewed.
Extensions of duality concepts to String Theory are discussed.
Abstract
These lectures give an introduction to duality in Quantum Field Theory. We discuss the phases of gauge theories and the implications of the electric-magnetic duality transformation to describe the mechanism of confinement. We review the exact results of N=1 supersymmetric QCD and the Seiberg-Witten solution of N=2 super Yang-Mills. Some of its extensions to String Theory are also briefly discussed.
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