The Geometry of Supersymmetric Gauge Theories in Four Dimensions

Abstract

We review the relations between (twisted) supersymmetric gauge theories in four dimensions and moduli problems in four-dimensional topology, and we study in detail the non-abelian monopole equations from this point of view. The relevance of exact results in N=1 and N=2 supersymmetric gauge theories to the computation of topological invariants is emphasized. Some background material is provided, including an introduction to Donaldson theory, the twisting procedure and the Mathai-Quillen formalism.

Ph. D. Thesis, Latex file, 150 pages

Cited by in corpus (7)

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• Gauge/String Duality in Confining Theories
• Perturbative Beta Function of N=2 Super Yang-Mills Theories
• Mass Perturbations in Twisted N=4 Supersymmetric Gauge Theories
• Protected Operators in N=2,4 Supersymmetric Theories
• Reconstruction of N=1 supersymmetry from topological symmetry