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Meromorphic connections on the sphere, loop equations and topological recursion

Gaëtan Borot
(MPI, Bonn)
Torsdag, 18 december, 2014, at 14:15-15:15, in Aud. D1 (1531-113)
Starting with a basis of covariantly constant sections of a meromorphic connection on the Riemann sphere, I will describe the construction of correlators that solve loop equations. It can be seen as a tool to study the all-order WKB expansion. When this expansion is "of topological type", it can fully described in terms of the topological recursion of Eynard and Orantin. I will give illustration with integrable equations related to the (p,q) minimal models of CFT.
This is based on a joint work with Bergere and Eynard.
Organiseret af: QGM
Kontaktperson: Jørgen Ellegaard Andersen