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Séminaire de Physique Théorique

Conformal Blocks and Integrability

by Prof. Mikhail Isachenkov (Weizmann Institute of Science & IHES)

jeudi 21 décembre 2017 de au (Europe/Paris)
at IHES ( Amphithéâtre Léon Motchane )
35, route de Chartres, F-91440 Bures-sur-Yvette (France)

I will discuss a relation between conformal blocks, describing kinematics of a CFT, and integrable models of quantum-mechanical particles. I will show how the dependence of blocks on cross-ratios is encoded in equations of motion of a Calogero-Sutherland model and their dependence on conformal dimension and spin of the exchanged operator - in those of a relativistic Calogero-Sutherland model. Both are simultaneously controlled by an integrable connection generalizing 2d Knizhnik-Zamolodchikov equations. I will review how this connection, associated to representations of degenerate double affine Hecke algebra, comes from a q-deformed bispectrally symmetric setting.

Organisé par Vasily Pestun
Contact Email: cecile@ihes.fr