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Restrictions on gauge groups in noncommutative gauge theory
Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Physics, Department of Theoretical Physics.
2000 In: Physics Letters B, ISSN 0370-2693, Vol. 482, no 4, 417-419 p.Article in journal (Refereed) Published
Place, publisher, year, edition, pages
2000. Vol. 482, no 4, 417-419 p.
URN: urn:nbn:se:uu:diva-92031OAI: oai:DiVA.org:uu-92031DiVA: diva2:164972
Available from: 2004-09-09 Created: 2004-09-09Bibliographically approved
In thesis
1. Strings, Conformal Field Theory and Noncommutative Geometry
Open this publication in new window or tab >>Strings, Conformal Field Theory and Noncommutative Geometry
2004 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis describes some aspects of noncommutative geometry and conformal field theory. The motivation for the investigations made comes to a large extent from string theory. This theory is today considered to be the most promising way to find a solution to the problem of unifying the four fundamental interactions in one single theory. The thesis gives a short background presentation of string theory and points out how noncommutative geometry and conformal field theory are of relevance within the string theoretical framework. There is also given some further information on noncommutative geometry and conformal field theory. The results from the three papers on which the thesis is based are presented in the text. It is shown in Paper 1 that, for a gauge theory in a flat noncommutative background only the gauge groups U(N) can be used in a straightforward way. These theories can arise as low energy limits of string theory. Paper 2 concerns boundary conformal field theory, which can be used to describe open strings in various backgrounds. Here different orbifold theories which are described using simple currents of the chiral algebra are investigated. The formalism is applied to ``branes´´ in Z2 orbifolds of the SU(2) WZW-model and to the D-series of unitary minimal models. In Paper 3 two different descriptions of an invariant star-product on are compared and the characteristic class that classifies the star-product is calculated. The Fedosov-Nest-Tsygan index theorem is used to compute the characteristic class.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2004. 54 p.
Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1104-232X ; 1004
Theoretical physics, Theoretical physics, String theory, Conformal field theory, Noncommutative geometry, Star-products, Teoretisk fysik
National Category
Physical Sciences
urn:nbn:se:uu:diva-4508 (URN)91-554-6019-4 (ISBN)
Public defence
2004-10-02, Polhemssalen, Ångströmlaboratoriet, Lägerhyddsvägen 1, Uppsala, 09:15
Available from: 2004-09-09 Created: 2004-09-09 Last updated: 2013-07-10Bibliographically approved

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