Sommaire:

Conformal blocks in any CFT are eigenfunctions of Casimir operator. We will show how to reformulate this problem as harmonic analysis on the appropriate vector bundle. The fiber is built from the representations of operators in four-point correlation function and the base is a double factor of conformal group. Surprisingly the resulting equations come in the form of matrix version of (super) integrable Calogero-Sutherland model. I will illustrate the correspondence through the nontrivial example of 3D seed conformal blocks introduced in 1511.01497.

Pour plus d'informations, merci de contacter Alexandrov S.