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7D supersymmetric Yang-Mills on curved manifolds
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.ORCID iD: 0000-0002-5845-2283
2017 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 12, article id 152Article in journal (Refereed) Published
Abstract [en]

We study 7D maximally supersymmetric Yang-Mills theory on curved manifolds that admit Killing spinors. If the manifold admits at least two Killing spinors (Sasaki-Einstein manifolds) we are able to rewrite the supersymmetric theory in terms of a cohomological complex. In principle this cohomological complex makes sense for any K-contact manifold. For the case of toric Sasaki-Einstein manifolds we derive explicitly the perturbative part of the partition function and speculate about the non-perturbative part. We also briefly discuss the case of 3-Sasaki manifolds and suggest a plausible form for the full non-perturbative answer.

Place, publisher, year, edition, pages
Springer, 2017. no 12, article id 152
Keywords [en]
Differential and Algebraic Geometry, Supersymmetric Gauge Theory
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:uu:diva-340461DOI: 10.1007/JHEP12(2017)152ISI: 000419111400010OAI: oai:DiVA.org:uu-340461DiVA, id: diva2:1183055
Available from: 2018-02-15 Created: 2018-02-15 Last updated: 2018-02-15Bibliographically approved

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Polydorou, KonstantinaRocén, AndreasZabzine, Maxim
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