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Group Extensions, Gerbes and Twisted K-theory

<p>This thesis reviews the theory of group extensions, gerbes and twisted K-theory. Application to anomalies in gauge theory is briefly discussed. The main results are presented in two appended scientific papers. In the first paper we establish, by construction, a criterion for when an infinite dimensional abelian Lie algebra extension corresponds to a Lie group extension. In the second paper we introduce the fractional loop group L_qG, construct highest weight modules for the Lie algebra and discuss an application to twisted K-theory on G.</p>

Identiferoai:union.ndltd.org:UPSALLA/oai:DiVA.org:kth-4654
Date January 2008
CreatorsHekmati, Pedram
PublisherKTH, Theoretical Physics, Stockholm : Teoretisk fysik
Source SetsDiVA Archive at Upsalla University
LanguageEnglish
Detected LanguageEnglish
TypeLicentiate thesis, comprehensive summary, text
RelationTrita-FYS, 0280-316X ; 2008:7

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