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Loop groups and noncommutative geometry. (arXiv:1509.02509v4 [math.OA] UPDATED)
来源于:arXiv
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 in the setting
of conformal nets. We then generalize the construction to many other rational
chiral conformal field theory models including coset models and the moonshine
conformal net. 查看全文>>