Fractional Loop Group and Twisted K-theory
2010 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 299, no 3, 741-763 p.Article in journal (Refereed) Published
We study the structure of abelian extensions of the group L (q) G of q-differentiable loops (in the Sobolev sense), generalizing from the case of the central extension of the smooth loop group. This is motivated by the aim of understanding the problems with current algebras in higher dimensions. Highest weight modules are constructed for the Lie algebra. The construction is extended to the current algebra of the supersymmetric Wess-Zumino-Witten model. An application to the twisted K-theory on G is discussed.
Place, publisher, year, edition, pages
2010. Vol. 299, no 3, 741-763 p.
unitary representations, quantization
Other Physics Topics
IdentifiersURN: urn:nbn:se:kth:diva-8044DOI: 10.1007/s00220-010-1108-6ISI: 000281711100007ScopusID: 2-s2.0-84755161215OAI: oai:DiVA.org:kth-8044DiVA: diva2:13260
QC 20100915 Uppdaterad från submitted till published (20101130).2008-02-272008-02-272010-11-30Bibliographically approved