Speaker
Description
In this talk, I will review our recent progress on the characterization of multipoint conformal blocks in any spacetime dimension $d$ and any OPE channel.
Our approach extends the standard four-point Casimir equations, introduced by Dolan and Osborn, to a set of higher-point eigenvalue equations of commuting operators that also measure quantum numbers associated with vertices of OPE diagrams.
We obtained the relevant set of commuting operators from special limits of Hamiltonians of Gaudin models, and we showed that in $d\ge 3$ their solutions require a distinguished basis of three-point tensor structures at every vertex. In the simplest example of comb-channel vertices, this basis corresponds to eigenfunctions of an elliptic Calogero-Sutherland-Moser model originally discovered by Etingof, Felder, Ma, and Veselov.
| Do you wish to attend the workshop on-site? | yes |
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