Supersymmetric Gauge Theories on the Five-Sphere

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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22 pages; v2: a reference added

Scientific paper

We construct Euclidean 5d supersymmetric gauge theories on the five-sphere with vector and hypermultiplets. The SUSY transformation and the action are explicitly determined from the standard Noether procedure as well as from off-shell supergravity. Using localization techniques, the path-integral is shown to be restricted to the integration over a generalization of instantons on CP^2 and the Coulomb moduli.

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