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.
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:uu-396612 |
| Date | January 2019 |
| Creators | Lundin, Jim |
| Publisher | Uppsala universitet, Teoretisk fysik |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Student thesis, info:eu-repo/semantics/bachelorThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | FYSAST ; FYSPROJ1145 |
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