Conformal field theory and lie algebras

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dc.contributor.authorJakovljevic, Cvjetan
dc.contributor.authorUniversity of Lethbridge. Faculty of Arts and Science
dc.contributor.supervisorWalton, Mark A.
dc.date.accessioned2007-04-10T21:29:59Z
dc.date.available2007-04-10T21:29:59Z
dc.date.issued1996
dc.degree.levelMasters
dc.descriptioniv, 80 leaves : ill. ; 28 cm.en
dc.description.abstractConformal field theories (CFTs) are intimately connected with Lie groups and their Lie algebras. Conformal symmetry is infinite-dimensional and therefore an infinite-dimensional algebra is required to describe it. This is the Virasoro algebra, which must be realized in any CFT. However, there are CFTs whose symmetries are even larger then Virasoro symmentry. We are particularly interested in a class of CFTs called Wess-Zumino-Witten (WZW) models. They have affine Lie algebras as their symmentry algebras. Each WZW model is based on a simple Lie group, whose simple Lie algebra is a subalgebra of its affine symmetry algebra. This allows us to discuss the dominant weight multiplicities of simple Lie algebras in light of WZW theory. They are expressed in terms of the modular matrices of WZW models, and related objects. Symmentries of the modular matrices give rise to new relations among multiplicities. At least for some Lie algebras, these new relations are strong enough to completely fix all multiplicities.en
dc.identifier.urihttps://hdl.handle.net/10133/37
dc.language.isoen_USen
dc.publisherLethbridge, Alta. : University of Lethbridge, Faculty of Arts and Science, 1996en
dc.publisher.departmentDepartment of Physics
dc.publisher.facultyArts and Science
dc.relation.ispartofseriesThesis (University of Lethbridge. Faculty of Arts and Science)en
dc.subjectLie algebrasen
dc.subjectLie groupsen
dc.subjectDissertations, Academicen
dc.titleConformal field theory and lie algebrasen
dc.typeThesisen
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