76 citations · 182 across the 5 of their papers we have counts for
4 papers
On solutions of the Fuji-Suzuki-Tsuda system
Pavlo Gavrylenko, Nikolai Iorgov, Oleg Lisovyy
We derive Fredholm determinant and series representation of the tau function of the Fuji-Suzuki-Tsuda system and its multivariate extension, thereby generalizing to higher rank the…
Pure gauge theory partition function and generalized Bessel kernel
P. Gavrylenko, O. Lisovyy
We show that the dual partition function of the pure gauge theory in the self-dual -background (a) is given by Fredholm determinant of a generalized Besse…
Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions
P. Gavrylenko, O. Lisovyy
We derive Fredholm determinant representation for isomonodromic tau functions of Fuchsian systems with regular singular points on the Riemann sphere and generic monodromy in $\…
Form factors of twist fields in the lattice Dirac theory
P. Gavrylenko, N. Iorgov, O. Lisovyy
We study U(1) twist fields in a two-dimensional lattice theory of massive Dirac fermions. Factorized formulas for finite-lattice form factors of these fields are derived using elli…