Title page for ETD etd-08152012-121421


Document Type Master's Dissertation
Author Van den Worm, Mauritz
URN etd-08152012-121421
Document Title A noncommutative sigma model
Degree MSc
Department Physics
Supervisor
Advisor Name Title
Mr R Duvenhage Supervisor
Keywords
  • operator algebra
  • sigma model
  • string theory
Date 2012-03-15
Availability unrestricted
Abstract
We 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.

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.

Please cite as follows:

Van den Worm, M 2012, A noncommutative sigma model, MSc dissertation, University of Pretoria, Pretoria, viewed yymmdd < http://upetd.up.ac.za/thesis/available/etd-08152012-121421/ >

C12/9/39/ag

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