Friday, March 16, 2012

1203.3423 (Martin Wolf)

Contact Manifolds, Contact Instantons, and Twistor Geometry    [PDF]

Martin Wolf
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 to provide a detailed twistor construction of this equation when formulated on K-contact manifolds. We shall also discuss certain extensions to higher dimensions and supersymmetric generalisations.
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