
arXiv: 1203.0371
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.
22 pages; v2: a reference added
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Path integrals in quantum mechanics, Supersymmetric field theories in quantum mechanics, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), FOS: Physical sciences, Quantum field theory on curved space or space-time backgrounds, Supergravity, Yang-Mills and other gauge theories in quantum field theory
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Path integrals in quantum mechanics, Supersymmetric field theories in quantum mechanics, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), FOS: Physical sciences, Quantum field theory on curved space or space-time backgrounds, Supergravity, Yang-Mills and other gauge theories in quantum field theory
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