Lectures on 2D Yang-Mills Theory, Equivariant Cohomology and Topological Field Theories

Details Lectures on 2D Yang-Mills Theory, Equivariant Cohomology and Topological Field Theories Lectures on 2D Yang-Mills Theory, Equivariant Cohomology and Topological Field Theories

1994-11-21

arxiv.org/abs/hep-th/9411210v2

Nucl.Phys.Proc.Suppl.41:184-244,1995

Physics

High Energy Physics

High Energy Physics - Theory

247 pages (280 pages "l" mode), 60 figures. Lectures presented at the 1994 Les Houches Summer School ``Fluctuating Geometries

Scientific paper

10.1016/0920-5632(95)00434-B

These are expository lectures reviewing (1) recent developments in two-dimensional Yang-Mills theory, and (2) the construction of topological field theory Lagrangians. Topological field theory is discussed from the point of view of infinite-dimensional differential geometry. We emphasize the unifying role of equivariant cohomology both as the underlying principle in the formulation of BRST transformation laws and as a central concept in the geometrical interpretation of topological field theory path integrals.

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