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Twisted K theory invariants
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Mathematical Physics.
2005 (English)In: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 71, no 2, 109-121 p.Article in journal (Refereed) Published
Abstract [en]

An invariant for twisted K theory classes on a 3-manifold is introduced. The invariant is then applied to the twisted equivariant classes arising from the supersymmetric Wess-Zumino-Witten model based on the group SU(2). It is shown that the classes defined by different highest weight representations of the loop group LSU(2) are inequivalent. The results are compatible with Freed-Hopkins-Teleman identification of twisted equivariant K theory as the Verlinde algebra.

Place, publisher, year, edition, pages
2005. Vol. 71, no 2, 109-121 p.
Keyword [en]
twisted K theory, gerbes, Wess-Zumino-Witten model
National Category
Other Physics Topics
URN: urn:nbn:se:kth:diva-37855DOI: 10.1007/s11005-004-6028-yISI: 000227835100003ScopusID: 2-s2.0-22044455849OAI: diva2:435349
QC 20110818Available from: 2011-08-18 Created: 2011-08-18 Last updated: 2011-08-18Bibliographically approved

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Mickelsson, Jouko
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