Integrable Structures in Supersymmetric Gauge and String Theory

Abstract

The effective action of N=2 Yang-Mills theory with adjoint matter is shown to be governed by an integrable spin model with spectral parameter on an elliptic curve. We sketch a route to deriving this effective dynamics from the underlying Yang-Mills theory. Natural generalizations of this structure to all N=2 models, and to string theory, are suggested.

11 pages, latex

References in corpus (9)

• Supersymmetric Yang-Mills Systems And Integrable Systems
• Integrability and Seiberg-Witten Exact Solution
• Algebras, BPS States, and Strings
• Integrable systems and supersymmetric gauge theory
• The Coulomb Phase of N=2 Supersymmetric QCD
• The Vacuum Structure of N=2 SuperQCD with Classical Gauge Groups
• Whitham-Toda hierarchy and N = 2 supersymmetric Yang-Mills theory
• On the Quantum Moduli Space of N=2 Supersymmetric Gauge Theories
• Generalized Hitchin systems and Knizhnik-Zamolodchikov-Bernard equation on elliptic curves

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