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Supersymmetry on Curved Space and Localization: An Example on S3
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2019 (English)Student paper other, 10 credits / 15 HE creditsStudent thesis
Abstract [en]

We present a basic introduction to the Super Poincaré algebra in 4D, then constructthe N = 1 Super Yang-Mills in 4D. By analogue we expand to the case of N = 1 Super Yang-Mills in 10D. Then by a method of dimensional reduction we getcertain supersymmetric theories in d <= 7 and restrict to spherical backgrounds. Wethen introduce a localization argument by ways of a cohomology on the configuration space of our theory. Finally we apply both techniques to acquire N = 2 Super Yang-Mills on S3, adding the Chern-Simons term and computing the exact partitionfunction, additionally giving an example for the case of U(N) gauge theories.

Place, publisher, year, edition, pages
2019. , p. 33
Series
FYSAST ; FYSPROJ1145
National Category
Other Physics Topics
Identifiers
URN: urn:nbn:se:uu:diva-396612OAI: oai:DiVA.org:uu-396612DiVA, id: diva2:1368491
Educational program
Master Programme in Physics
Supervisors
Examiners
Available from: 2019-11-08 Created: 2019-11-07 Last updated: 2019-11-08Bibliographically approved

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