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Information × Registration Number 0217U001729, 0116U007727 , R & D reports Title Isomonodromic deformations and conformal field theory. Milestone 2. Fermionic representation of isomonodromic tau-function of linear Fuchsian system popup.stage_title Head Iorgov Nikolai Zinov'evich, Registration Date 14-04-2017 Organization Bogolyubov Institute of Theoretical Physics NAS of Ukraine popup.description2 Representation of isomonodromic tau-functions of Fuchsian systems with n regular singularities on the Riemann sphere and generic monodromy from GL(N) as a Fredholm determinant was derived. Corresponding integral operator is given in terms of solutions of Fuchsian system with 3 singularities. In the case of two-dimensional monodromies (N=2), an explicit combinatorial formula for Fredholm determinant of tau-function of Garnier system is given. These formulas were explained in terms of multicomponent free fermions on the background of twist fields. Product Description popup.authors Іоргов М.З. Гавриленко П.Г. Журавльов Ю.В. Ляшик А.М. Семенякін М.І. Тихий Ю.В. Щечкін А.І. popup.nrat_date 2020-04-02 Close