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Contact manifolds, contact instantons, and twistor geometry

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Abstract

Recently, Källén & 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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  1. Department of Mathematics, University of Surrey, Guildford, GU2 7XH, United Kingdom

    Martin Wolf

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Wolf, M. Contact manifolds, contact instantons, and twistor geometry. J. High Energ. Phys. 2012, 74 (2012). https://doi.org/10.1007/JHEP07(2012)074

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