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Localizing gauge theories on Sd
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2016 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 4, 152Article in journal (Refereed) Published
Abstract [en]

We conjecture the form of the one-loop determinants for localized gauge theories with eight supersymmetries on d-dimensional spheres. Combining this with results for the localized action, we investigate the strong coupling behavior in the large N limit for a continuous range of d. In particular, we find the N dependence of the free energy for supersymmetric Yang-Mills with only a vector multiplet in 3<d<4 and for maximally supersymmetric Yang-Mills in 3<d<6. We also argue that this gives an effective way to regularize divergences after localization in d=4 for N=2 gauge theories and d=6 for the maximally supersymmetric case.

Place, publisher, year, edition, pages
2016. Vol. 4, 152
Keyword [en]
Supersymmetric gauge theory; 1/N Expansion; Matrix Models
National Category
Subatomic Physics
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:uu:diva-287854DOI: 10.1007/JHEP04(2016)152ISI: 000375055200005OAI: oai:DiVA.org:uu-287854DiVA: diva2:923535
Funder
Swedish Research Council, 2012-3269
Available from: 2016-04-26 Created: 2016-04-26 Last updated: 2016-06-23Bibliographically approved

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Publisher's full textarXiv:1512.06924 [hep-th]

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Minahan, Joseph
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