Contact Manifolds, Contact Instantons, and Twistor Geometry

Details Contact Manifolds, Contact Instantons, and Twistor Geometry Contact Manifolds, Contact Instantons, and Twistor Geometry

2012-03-15

arxiv.org/abs/1203.3423v2

Physics

High Energy Physics

High Energy Physics - Theory

v2: 26 pages, typos fixed and clarifications added

Scientific paper

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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