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Pavlo Gavrylenko
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Year
Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions
P Gavrylenko, O Lisovyy
Communications in Mathematical Physics 363, 1-58, 2018
872018
Cluster integrable systems, q-Painlevé equations and their quantization
M Bershtein, P Gavrylenko, A Marshakov
Journal of High Energy Physics 2018 (2), 2018
622018
Isomonodromic τ-functions and WN conformal blocks
P Gavrylenko
Journal of High Energy Physics 2015 (9), 1-24, 2015
402015
Cluster Toda chains and Nekrasov functions
MA Bershtein, PG Gavrylenko, AV Marshakov
Theoretical and Mathematical Physics 198, 157-188, 2019
352019
gauge theory, free fermions on the torus and Painlev\'e VI
G Bonelli, F Del Monte, P Gavrylenko, A Tanzini
arXiv preprint arXiv:1901.10497, 2019
30*2019
Higher-rank isomonodromic deformations and W-algebras
P Gavrylenko, N Iorgov, O Lisovyy
Letters in Mathematical Physics 110 (2), 327-364, 2020
282020
Tau functions as Widom constants
M Cafasso, P Gavrylenko, O Lisovyy
Communications in Mathematical Physics 365, 741-772, 2019
28*2019
Free fermions, W-algebras, and isomonodromic deformations
PG Gavrylenko, AV Marshakov
Theoretical and Mathematical Physics 187 (2), 649-677, 2016
272016
Pure SU (2) gauge theory partition function and generalized Bessel kernel
P Gavrylenko, O Lisovyy
Proc. Symp. Pure Math 18, 181, 2018
22*2018
Quantum spectral problems and isomonodromic deformations
M Bershtein, P Gavrylenko, A Grassi
Communications in Mathematical Physics 393 (1), 347-418, 2022
192022
Exact conformal blocks for the W-algebras, twist fields and isomonodromic deformations
P Gavrylenko, A Marshakov
Journal of High Energy Physics 2016 (2), 1-32, 2016
17*2016
Circular quiver gauge theories, isomonodromic deformations and fermions on the torus
G Bonelli, F Del Monte, P Gavrylenko, A Tanzini
Letters in Mathematical Physics 111 (3), 83, 2021
152021
Irregular conformal blocks, Painlevé III and the blow-up equations
P Gavrylenko, A Marshakov, A Stoyan
Journal of High Energy Physics 2020 (12), 1-57, 2020
14*2020
On solutions of the Fuji-Suzuki-Tsuda system
P Gavrylenko, N Iorgov, O Lisovyy
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 14, 123, 2018
122018
Twist-field representations of W-algebras, exact conformal blocks and character identities
M Bershtein, P Gavrylenko, A Marshakov
Journal of High Energy Physics 2018 (8), 1-56, 2018
112018
Residue formulas for prepotentials, instanton expansions and conformal blocks
P Gavrylenko, A Marshakov
Journal of High Energy Physics 2014 (5), 1-34, 2014
112014
Isomonodromic tau functions on a torus as Fredholm determinants, and charged partitions
F Del Monte, H Desiraju, P Gavrylenko
Communications in Mathematical Physics 398 (3), 1029-1084, 2023
92023
Solution of tetrahedron equation and cluster algebras
P Gavrylenko, M Semenyakin, Y Zenkevich
Journal of High Energy Physics 2021 (5), 1-34, 2021
72021
Crossing invariant correlation functions at c= 1 from isomonodromic τ functions
P Gavrylenko, R Santachiara
Journal of High Energy Physics 2019 (11), 1-38, 2019
52019
Monodromy dependence and symplectic geometry of isomonodromic tau functions on the torus
F Del Monte, H Desiraju, P Gavrylenko
Journal of Physics A: Mathematical and Theoretical 56 (29), 294002, 2023
42023
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