Seiberg-Witten Theories on Ellipsoid
碩士 === 國立臺灣大學 === 物理研究所 === 103 === {In this thesis, we focus on the moduli space of ${mathcal N}=2$ supersymmetry gauge theories on four dimensional ellipsoid $S^{4}_{b^{2}}$. We first review Seiberg-Witten theory and the duality between two- and four- dimensional theory on flat space ${mathbb{R}}^...
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| Format: | Others |
| Language: | en_US |
| Published: |
2015
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| Online Access: | http://ndltd.ncl.edu.tw/handle/32250594813983514269 |
| Summary: | 碩士 === 國立臺灣大學 === 物理研究所 === 103 === {In this thesis, we focus on the moduli space of ${mathcal N}=2$ supersymmetry gauge theories on four dimensional ellipsoid $S^{4}_{b^{2}}$. We first review Seiberg-Witten theory and the duality between two- and four- dimensional theory on flat space ${mathbb{R}}^{4}$. Furthermore, we also review the construction of SW theory on $S^{4}_{b^{2}}$ and the exact partition function on Coulomb branch by Localization Principle. We add another deformed term ${ f Q}{mathcal V}_{
m Higgs}$ to find out new set of saddle point equations whose solutions include the Higgs branch and generalized instanton-vortex mixed configuration. Evaluating partition function by Residue theorem, we find the factorizable structures of the corresponding codimension 2 surface defects. We also discuss the physical interpretations of non-factorizable structures.}
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