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The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere
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.
2012 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 8, 157- p.Article in journal (Refereed) Published
Abstract [en]

Based on the construction by Hosomichi, Seong and Terashima we consider N = 1 supersymmetric 5D Yang-Mills theory with matter on a five-sphere with radius r. This theory can be thought of as a deformation of the theory in flat space with deformation parameter r and this deformation preserves 8 supercharges. We calculate the full perturbative partition function as a function of r/g(YM)(2), where g(YM) is the Yang-Mills coupling, and the answer is given in terms of a matrix model. We perform the calculation using localization techniques. We also argue that in the large N-limit of this deformed 5D Yang-Mills theory this matrix model provides the leading contribution to the partition function and the rest is exponentially suppressed.

Place, publisher, year, edition, pages
2012. no 8, 157- p.
Keyword [en]
Supersymmetric gauge theory, Matrix Models, Field Theories in Higher Dimensions, 1/N Expansion
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:uu:diva-187731DOI: 10.1007/JHEP08(2012)157ISI: 000309883200012OAI: oai:DiVA.org:uu-187731DiVA: diva2:575595
Available from: 2012-12-10 Created: 2012-12-10 Last updated: 2017-12-07Bibliographically approved

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Källén, JohanZabzine, Maxim

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