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A Study of Abelian Dualities in 2+1 Dimensions
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2019 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

It is well-known that in 2 + 1 dimensions the flux attachment transmutes the statistics of a particle.The aim of this master thesis is to study the dualities between bosons and fermions induced by Abeliantopological gauge fields in 2 + 1 dimensions. Chapter 1 and 2 are reviews of known results about thepath integral quantization of Chern-Simons theory and the regularization of the fermionic path integral.In the following chapters, we will derive the statistical transmutation and various Abelian dualities in2 + 1 dimensions.

Place, publisher, year, edition, pages
2019. , p. 65
Series
FYSAST ; FYSMAS1086
Keywords [en]
Chern-Simons, Duality, IR Fixed Point, Monopole
National Category
Other Physics Topics
Identifiers
URN: urn:nbn:se:uu:diva-376634OAI: oai:DiVA.org:uu-376634DiVA, id: diva2:1286702
Educational program
Master Programme in Physics
Presentation
10234, Ångströmlaboratoriet, Uppsala (English)
Supervisors
Examiners
Available from: 2019-02-07 Created: 2019-02-07 Last updated: 2019-02-07Bibliographically approved

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