Full Text Available
Note: Clicking the button above will open the full text document at the original institutional repository in a new window.
A noncommutative sigma model
Dissertation (MSc)--University of Pretoria, 2012.
Saved in:
| Other Authors: | |
|---|---|
| Format: | Thesis |
| Published: |
University of Pretoria
2013
|
| Subjects: | |
| Tags: |
No Tags, Be the first to tag this record!
|
| _version_ | 1867613652504281088 |
|---|---|
| access_status_str | Open Access |
| author2 | Duvenhage, Rocco |
| author_browse | Duvenhage, Rocco |
| author_facet | Duvenhage, Rocco |
| collection | Thesis |
| dc_rights_str_mv | © 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. |
| description | Dissertation (MSc)--University of Pretoria, 2012. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/27279 |
| institution | University of Pretoria (South Africa) |
| last_indexed | 2026-06-10T12:39:33.363Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2013 |
| publishDateRange | 2013 |
| publishDateSort | 2013 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/27279 A noncommutative sigma model Duvenhage, Rocco mauritzvdworm@gmail.com Van den Worm, Mauritz Operator algebra Sigma model String theory UCTD Dissertation (MSc)--University of Pretoria, 2012. 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. Physics unrestricted 2013-09-07T11:05:22Z 2012-10-11 2013-09-07T11:05:22Z 2012-03-15 2012-10-11 2012-08-15 Dissertation Van den Worm, M 2012, A noncommutative sigma model, MSc dissertation, University of Pretoria, Pretoria, viewed yymmdd < http://hdl.handle.net/2263/27279 > C12/9/39/ag http://hdl.handle.net/2263/27279 http://upetd.up.ac.za/thesis/available/etd-08152012-121421/ © 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. application/pdf University of Pretoria |
| spellingShingle | Operator algebra Sigma model String theory UCTD A noncommutative sigma model |
| title | A noncommutative sigma model |
| title_full | A noncommutative sigma model |
| title_fullStr | A noncommutative sigma model |
| title_full_unstemmed | A noncommutative sigma model |
| title_short | A noncommutative sigma model |
| title_sort | noncommutative sigma model |
| topic | Operator algebra Sigma model String theory UCTD |
| url | http://hdl.handle.net/2263/27279 http://upetd.up.ac.za/thesis/available/etd-08152012-121421/ |