Isomonodromic deformations and vertex operators
Pasha Gavrylenko
National Research University Higher School of Economics, Moscow and Bogolyubov Institute for Theoretical Physics, Kyiv
Jeudi 02/06/2016, 14:15
Pièce 35, Bât. 774, Orme des Merisiers

I will define some group-like element acting on the free-fermionic space in terms of 3-point Riemann-Hilbert problem. Then I will show that this operator is actually the $W_n$ primary field (in some cases it is the only definition of the primary field). Also I will show that the vacuum expectation value of n such fields is the n-point isomonodromic tau-function. This gives the proof of the isomonodromy-CFT correspondence in the general situation.

Contact : Loic BERVAS

 

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