Instantors, monopoles, and three dimensional gauge theories
In this thesis we develop semi-classical techniques in three-dimensional gauge theories and apply them to models with extended supersymmetry. We investigate extensively the correspondence between three-dimensional gauge thesis with N = 4 supersymmetry and monopole moduli spaces. In the case of SU(z)...
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Swansea University
1998
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| Online Access: | http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.639250 |
| Summary: | In this thesis we develop semi-classical techniques in three-dimensional gauge theories and apply them to models with extended supersymmetry. We investigate extensively the correspondence between three-dimensional gauge thesis with N = 4 supersymmetry and monopole moduli spaces. In the case of SU(z) gauge theory, we prove that the Coulomb branch is equivalent to the centred moduli space of two BPS monopoles constructed by Atyah and Hitchin. For SU(z) gauge groups, the results give new information about the moduli space of n BPS monopoles. We further extend the correspondence to include monopole moduli spaces of all simply-laced Lie groups. We also consider instanton effect in N=2 and N=8 theories. |
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