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Localization Techniques, Yang-Mills Theory and Strings
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2016 (English)Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

Equivariant localization techniques exploit symmetries of systems, represented by group actions on manifolds, and use them to evaluate certain partition functions exactly. In this master thesis we begin with the study of localization in finite dimensions. We then generalize this concept to infinite dimensions and study the partition function of two dimensional quantum Yang- Mills theory and its relation to string theory. The partition function can be written as a sum over the critical point set and be related to the topology of the moduli space of flat connections. Furthermore, for large N the partition function of the gauge groups SU(N) and U(N) can be interpreted as a string perturbation series. The coefficients of the expansion are given by a sum over maps from a two dimensional surface onto the two dimensional target space and thus the partition function is interpreted as a closed string theory. Also, a string theory action is discussed using topological field theory tools and localization techniques. 

Place, publisher, year, edition, pages
UPTEC F, ISSN 1401-5757 ; 16006
National Category
Physical Sciences
URN: urn:nbn:se:uu:diva-280740OAI: diva2:911867
Educational program
Master Programme in Engineering Physics
Available from: 2016-03-15 Created: 2016-03-14 Last updated: 2016-03-15Bibliographically approved

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