Local Extensions of Completely Rational Conformal Quantum Field Theories

Lokale Erweiterungen von Vollständig Rationellen Konformen Quantenfeldtheorien

von Antonia Mitkova Kukhtina
Dissertation
Datum der mündl. Prüfung:2011-06-17
Erschienen:2011-07-29
Betreuer:Prof. Dr. Karl-Henning Rehren
Gutachter:Prof. Dr. Karl-Henning Rehren
Gutachter:Prof. Dr. Stefan Hollands
Gutachter:Prof. Dr. Laura Covi
Zum Verlinken/Zitieren: http://dx.doi.org/10.53846/goediss-2915

 

 

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Zusammenfassung

Englisch

In the present work we addressed several important problems regarding local extensions of chiral conformal quantum field theories. We showed that by methods from the algebraic approach the superselection structure of all local extensions of Virasoro nets with central charge less than one is completely determined. We explored local Möbius invariant commutators in chiral theories following closely the example of the Lüscher-Mack theorem. Finally, we studied the deformation theory of these commutators using cohomological methods.
Keywords: conformal quantum field theory; local extension; superselection sector; commutator; deformation
Schlagwörter: konforme Quantenfeldtheorie; lokale Erweiterung; Superauswahlsektor; Kommutator; Deformation
 
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