Local Extensions of Completely Rational Conformal Quantum Field Theories

Lokale Erweiterungen von Vollständig Rationellen Konformen Quantenfeldtheorien

by Antonia Mitkova Kukhtina
Doctoral thesis
Date of Examination:2011-06-17
Date of issue:2011-07-29
Advisor:Prof. Dr. Karl-Henning Rehren
Referee:Prof. Dr. Karl-Henning Rehren
Referee:Prof. Dr. Stefan Hollands
Referee:Prof. Dr. Laura Covi
Persistent Address: http://dx.doi.org/10.53846/goediss-2915

 

 

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Abstract

English

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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