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I have reorganized the pages and put several references.
We identify the category of integrable lowest-weight representations of the loop group LG of a compact Lie group G with the linear category of twisted, conjugation-equivariant curved Fredholm complexes on the group G: namely, the twisted, equivariant matrix factorizations of a super-potential built from the loop rotation action on LG. This lifts the isomorphism of K-groups of [FHT1,2, 3] to an equivalence of categories. The construction uses families of Dirac operators.
I added this reference at matrix factorization, Constantin Teleman, Loop Groups and Twisted K-Theory.
Yeah, that’s neat. I had gotten a preview of this last week.
I have cross-linked with string 2-group…
As I updated the note above only after your reply: the reference is added also at matrix factorization, Constantin Teleman, Loop Groups and Twisted K-Theory.
Excellent. Thanks.
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