A noncommutative sigma model

dc.contributor.advisorDuvenhage, Roccoen
dc.contributor.emailmauritzvdworm@gmail.comen
dc.contributor.postgraduateVan den Worm, Mauritzen
dc.date.accessioned2013-09-07T11:05:22Z
dc.date.available2012-10-11en
dc.date.available2013-09-07T11:05:22Z
dc.date.created2012-03-15en
dc.date.issued2012-10-11en
dc.date.submitted2012-08-15en
dc.descriptionDissertation (MSc)--University of Pretoria, 2012.en
dc.description.abstractWe replaced the classical string theory notions of parameter space and world-time with noncommutative tori and consider maps between these spaces. The dynamics of mappings between different noncommutative tori were studied and a noncommutative generalization of the Polyakov action was derived. The quantum torus was studied in detail as well as *-homomorphisms between different quantum tori. A finite dimensional representation of the quantum torus was studied and the partition function and other path integrals were calculated. At the end we proved existence theorems for mappings between different noncommutative tori.en
dc.description.availabilityunrestricteden
dc.description.departmentPhysicsen
dc.identifier.citationVan den Worm, M 2012, A noncommutative sigma model, MSc dissertation, University of Pretoria, Pretoria, viewed yymmdd < http://hdl.handle.net/2263/27279 >en
dc.identifier.otherC12/9/39/agen
dc.identifier.upetdurlhttp://upetd.up.ac.za/thesis/available/etd-08152012-121421/en
dc.identifier.urihttp://hdl.handle.net/2263/27279
dc.language.isoen
dc.publisherUniversity of Pretoriaen_ZA
dc.rights© 2012 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria.en
dc.subjectOperator algebraen
dc.subjectSigma modelen
dc.subjectString theoryen
dc.subjectUCTDen_US
dc.titleA noncommutative sigma modelen
dc.typeDissertationen

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