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Gauge theories with 16 supersymmetries on spheres
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2015 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 3, 155Article in journal (Refereed) Published
Abstract [en]

We give a unified approach to localization of maximally symmetric gauge theories on spheres, including S-6 and S-7. The approach follows Pestun's method of dimensionally reducing from 10 dimensional super Yang-Mills. The resulting theories have a reduced R-symmetry which includes an SU(1,1) subgroup, except in four dimensions where, because of conformal invariance, the full flat-space R-symmetry is maintained, and in seven dimensions where SU(1, 1) is the flat-space R-symmetry. For the case of S-6 and S-7 we discuss the localization of these theories and also present new results for the corresponding matrix models. The matrix models for S-6 and S-7 are qualitatively similar to the matrix models of a vector multiplet on S-4 and S-5 respectively. We also discuss the contributions of instantons in the six and seven dimensional cases.

Place, publisher, year, edition, pages
2015. no 3, 155
Keyword [en]
Extended Supersymmetry, Field Theories in Higher Dimensions, 1/N Expansion
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:uu:diva-251997DOI: 10.1007/JHEP03(2015)155ISI: 000351751300004OAI: oai:DiVA.org:uu-251997DiVA: diva2:810817
Funder
Swedish Research Council, 2012-3269, 2014-5517
Available from: 2015-05-08 Created: 2015-04-28 Last updated: 2017-12-04Bibliographically approved

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Minahan, Joseph A.Zabzine, Maxim

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