Fractional Loop Group and Twisted K-Theory |
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Authors: | Pedram Hekmati Jouko Mickelsson |
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Institution: | 1. Department of Mathematical Sciences, University of Copenhagen, Copenhagen, Denmark 2. Department of Mathematical Methods in Physics, Faculty of Physics, Warsaw University, Warszawa, Poland
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Abstract: | 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. |
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Keywords: | |
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