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arXiv:1509.02509 [math.OA]AbstractReferencesReviewsResources

Loop groups and noncommutative geometry

Sebastiano Carpi, Robin Hillier

Published 2015-09-08Version 1

We describe the representation theory of loop groups in terms of K-theory and noncommutative geometry. This is done by constructing suitable spectral triples associated with the level l projective unitary positive-energy representations of any given loop group LG. The construction is based on certain supersymmetric conformal field theory models associated with LG.

Comments: 21 pages
Categories: math.OA, math-ph, math.KT, math.MP
Subjects: 46L87, 46L80, 19K35, 22E67, 81T05
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