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- W1531331454 abstract "In the localization of 5-dimensional N = 1 super-Yang-Mills, contact-instantons arise as non-perturbative contributions. In this note, we revisit such configurations and discuss their generalizations. We propose for contact-instantons a cohomological theory whose BRST observables are invariants of the background contact geometry. To make the formalism more concrete, we study the moduli problem of contact- instanton, and we find that it is closely related to the eqiuivariant index of a canonical Dirac-Kohn operator associated to the geometry. An integral formula is given when the geometry is K-contact. We also discuss the relation to 5d N = 1 super-Yang- Mills, and by studying a contact-instanton solution canonical to the background geometry, we discuss a possible connection between N = 1 theory and contact homology. We also uplift the 5d theory a 6d cohomological theory which localizes to Donaldson-Uhlenbeck-Yau instantons when placed on special geometry." @default.
- W1531331454 created "2016-06-24" @default.
- W1531331454 creator A5017774168 @default.
- W1531331454 date "2014-01-22" @default.
- W1531331454 modified "2023-09-27" @default.
- W1531331454 title "Note on a Cohomological Theory of Contact-Instanton and Invariants of Contact Structures" @default.
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- W1531331454 doi "https://doi.org/10.48550/arxiv.1401.5733" @default.
- W1531331454 hasPublicationYear "2014" @default.
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