Contact Manifolds, Contact Instantons, and Twistor Geometry
arXiv:1203.3423 · doi:10.1007/JHEP07(2012)074
Abstract
Recently, Kallen and Zabzine computed the partition function of a twisted supersymmetric Yang-Mills theory on the five-dimensional sphere using localisation techniques. Key to their construction is a five-dimensional generalisation of the instanton equation to which they refer as the contact instanton equation. Subject of this article is the twistor construction of this equation when formulated on K-contact manifolds and the discussion of its integrability properties. We also present certain extensions to higher dimensions and supersymmetric generalisations.
v3: 28 pages, clarifications and references added, version to appear in JHEP
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Cited by in corpus (13)
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- M5-branes from gauge theories on the 5-sphere
- On Supersymmetric Gauge Theories on S^4 x S^1
- 5d Higgs Branch Localization, Seiberg-Witten Equations and Contact Geometry
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- Indices for 6 dimensional superconformal field theories
- Sigma-model limit of Yang-Mills instantons in higher dimensions
- Instantons on Calabi-Yau cones
- Instantons in six dimensions and twistors
- Instantons on the six-sphere and twistors
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