Contact Manifolds, Contact Instantons, and Twistor Geometry

Martin Wolf

doi:10.1007/jhep07(2012)074

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arXiv · 1203.3423

Contact Manifolds, Contact Instantons, and Twistor Geometry

Martin Wolf

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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.

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Martin Wolf. 2012-06-29. Contact Manifolds, Contact Instantons, and Twistor Geometry. https://doi.org/10.1007/jhep07(2012)074

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