Affine fusion tadpoles

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dc.contributor.authorUrichuk, Andrew
dc.contributor.authorUniversity of Lethbridge. Faculty of Arts and Science
dc.contributor.supervisorWalton, Mark A.
dc.date.accessioned2015-10-05T01:09:13Z
dc.date.available2015-10-05T01:09:13Z
dc.date.issued2015
dc.degree.levelMastersen_US
dc.description.abstractFusion dimensions are integer-valued quantities equal to the dimensions of the spaces of conformal blocks, which describe the interactions of a conformal field theory (CFT). Our focus was on the Wess-Zumino-Witten models, a particularly interesting type of CFT, whose primary fields correspond to representations of affine Lie groups. Arguably, affine fusion tadpoles are the simplest g>0 fusion dimension, having only a single incoming field and g=1. We study the symmetries of the SU(N) tadpole and Verlinde formula with the intention of finding a non-negative-integer decomposition. Such a decomposition might be indicative of a combinatorial atom for fusion. From produced tables we found that tadpole values appeared to be polynomial in the level k. Several conjectures were made and we sketch a method obtaining general forms of SU(N) tadpoles via dominant weight sums.en_US
dc.embargoNoen_US
dc.identifier.urihttps://hdl.handle.net/10133/3761
dc.language.isoen_CAen_US
dc.proquest.subject0605en_US
dc.proquest.subject0753en_US
dc.proquest.subject0405en_US
dc.proquestyesYesen_US
dc.publisherLethbridge, Alta. : University of Lethbridge, Dept. of Physics and Astronomyen_US
dc.publisher.departmentDepartment of Physics and Astronomyen_US
dc.publisher.facultyArts and Scienceen_US
dc.relation.ispartofseriesThesis (University of Lethbridge. Faculty of Arts and Science)en_US
dc.subjectphysicsen_US
dc.subjectVerlinde formulaen_US
dc.subjectconformal blocksen_US
dc.subjectcombinatorialen_US
dc.subjectcombinatoricsen_US
dc.subjecttadpoleen_US
dc.subjectaffineen_US
dc.subjectconformal field theory (CFT)en_US
dc.subjectfusion producten_US
dc.subjectWess-Zumino-Witten (WZW) modelsen_US
dc.subjectgroupen_US
dc.subjectpartial sumsen_US
dc.subjectWeylen_US
dc.subjectGaloisen_US
dc.subjecttensor producten_US
dc.titleAffine fusion tadpolesen_US
dc.typeThesisen_US
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