<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>
| Identifer | oai:union.ndltd.org:UPSALLA/oai:DiVA.org:kth-4654 |
| Date | January 2008 |
| Creators | Hekmati, Pedram |
| Publisher | KTH, Theoretical Physics, Stockholm : Teoretisk fysik |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Licentiate thesis, comprehensive summary, text |
| Relation | Trita-FYS, 0280-316X ; 2008:7 |
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