# Loop groups and noncommutative geometry

September 09, 2015

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.

Keywords:

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