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 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.
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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/ >
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