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Chern Simons Theory
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, High Energy Physics. (Teoretisk partikelfysik)ORCID iD: 0000-0003-1280-3276
2017 (English)Report (Other academic)
Resource type
Text
Abstract [en]

The first step of the project is understanding the way of formulating gaugetheory on a generic manifold. To reach this aim, the concept of holonomyassociated with the principal bundles should be studied.Secondly, Wilson lines and the non Abelian gauge invariance is required tobe studied. The main step in this section is comprehending the gauge invari-ance in the flat space.The main goal of the project is acquaintance with Chern Simons theoryas a classical gauge theory. The first homology group of the HyperellipticRiemannian manifold will be computed using the Künneth formula. Thenhaving written the Wilson lines for each basis element, W (γ), the Poissonbracket of the Wilson lines for two different paths is computed.

Place, publisher, year, edition, pages
2017. , p. 33
Keywords [en]
Chern Simons Action, Gauge theory, Künneth formula, Wilson line
National Category
Other Physics Topics
Research subject
Physics and Astronomy specializing in Theoretical Physics
Identifiers
URN: urn:nbn:se:uu:diva-336958OAI: oai:DiVA.org:uu-336958DiVA, id: diva2:1167750
Available from: 2017-12-19 Created: 2017-12-19 Last updated: 2017-12-19Bibliographically approved

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