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Matrix models for 5d super Yang-Mills
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2017 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 50, no 44, article id 443015Article, review/survey (Refereed) Published
Abstract [en]

In this contribution to the issue on localization in gauge theories we investigate the matrix models derived from localizing N = 1 super Yang-Mills on S-5. We consider the large-N limit and attempt to solve the matrix model by a saddlepoint approximation. In general it is not possible to find an analytic solution, but at the weak and the strong limits of the 't Hooft coupling there are dramatic simplifications that allows us to extract most of the interesting information. At weak coupling we show that the matrix model is close to the Gaussian matrix model and that the free-energy scales as N-2. At strong coupling we show that if the theory contains one adjoint hypermultiplet then the free-energy scales as N-3. We also find the expectation value of a supersymmetric Wilson loop that wraps the equator. We demonstrate how to extract the effective couplings and reproduce results of Seiberg. Finally, we compare to results for the sixdimensional (2,0) theory derived using the AdS/CFT correspondence. We show that by choosing the hypermultiplet mass such that the supersymmetry is enhanced to N = 2, the Wilson loop result matches the analogous calculation using AdS/CFT. The free-energies differ by a rational fraction.

Place, publisher, year, edition, pages
2017. Vol. 50, no 44, article id 443015
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:uu:diva-346750DOI: 10.1088/1751-8121/aa5cbeISI: 000412932800015OAI: oai:DiVA.org:uu-346750DiVA, id: diva2:1193344
Funder
Swedish Research Council, 2012-3269Available from: 2018-03-26 Created: 2018-03-26 Last updated: 2018-03-26Bibliographically approved

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Minahan, Joseph A.

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