The Geometry of Supersymmetric Gauge Theories in Four Dimensions

Details The Geometry of Supersymmetric Gauge Theories in Four Dimensions The Geometry of Supersymmetric Gauge Theories in Four Dimensions

1997-01-24

arxiv.org/abs/hep-th/9701128v1

Physics

High Energy Physics

High Energy Physics - Theory

Ph. D. Thesis, Latex file, 150 pages

Scientific paper

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.

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