Gauge theories with 16 supersymmetries on spheres
2015 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, no 3, 155Article in journal (Refereed) Published
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
Extended Supersymmetry, Field Theories in Higher Dimensions, 1/N Expansion
IdentifiersURN: urn:nbn:se:uu:diva-251997DOI: 10.1007/JHEP03(2015)155ISI: 000351751300004OAI: oai:DiVA.org:uu-251997DiVA: diva2:810817
FunderSwedish Research Council, 2012-3269, 2014-5517