15 citations · 69 across the 13 of their papers we have counts for
15 papers
Modular transformations of tau functions and conformal blocks on the torus
Fabrizio Del Monte, Harini Desiraju, Pavlo Gavrylenko
The connection problem for isomonodromic tau functions on the one-punctured torus concerns the ratio between the tau function and its modular transform, associated to dual pants de…
On a 5D UV completion of Argyres-Douglas theories
Giulio Bonelli, Pavlo Gavrylenko, Ideal Majtara +1
We discuss a novel UV completion of a class of Argyres-Douglas (AD) theories in the -background by its embedding into the renormalisation group flow from five dimensional $\math…
Blowing-up the edge: connection formulae and stability chart of the Lamé equation
Giulio Bonelli, Pavlo Gavrylenko, Tommaso Pedroni +1
We study periodic spectral problems through their connection with supersymmetric gauge theories and two-dimensional conformal field theory. To characterize the associated stability…
Riemann-Hilbert problems, Fredholm determinants, explicit combinatorial expansions, and connection formulas for the general -Painlevé III tau functions
Pavlo Gavrylenko
We reformulate the -difference linear system corresponding to the -Painlevé equation of type as a Riemann-Hilbert problem on a circle. Then, we consider the Fred…
Surface observables in gauge theories, modular Painlevé tau functions and non-perturbative topological strings
Giulio Bonelli, Pavlo Gavrylenko, Ideal Majtara +1
We study BPS surface observables of four dimensional gauge theory in gravitational -background at perturbative and at Argyres-Douglas superconformal fixe…
2d Sigma Models on Non-compact Calabi-Yau and Liouville Theory
Pavlo Gavrylenko, Evgenii Ievlev, Andrei Marshakov +2
We consider a class of two dimensional conformal supersymmetric gauge linear sigma models with fields of charges and fields of charges , wh…
Connecting topological strings and spectral theory via non-autonomous Toda equations
Pavlo Gavrylenko, Alba Grassi, Qianyu Hao
We consider the Topological String/Spectral theory duality on toric Calabi-Yau threefolds obtained from the resolution of the cone over the singularity. Assuming Kyiv for…
Monodromy dependence and symplectic geometry of isomonodromic tau functions on the torus
Fabrizio Del Monte, Harini Desiraju, Pavlo Gavrylenko
We compute the monodromy dependence of the isomonodromic tau function on a torus with Fuchsian singularities and residue matrices by using its explicit Fredholm determi…
Quantum spectral problems and isomonodromic deformations
Mikhail Bershtein, Pavlo Gavrylenko, Alba Grassi
We develop a self-consistent approach to study the spectral properties of a class of quantum mechanical operators by using the knowledge about monodromies of linear sys…
Isomonodromic tau functions on a torus as Fredholm determinants, and charged partitions
Fabrizio Del Monte, Harini Desiraju, Pavlo Gavrylenko
We prove that the isomonodromic tau function on a torus with Fuchsian singularities and generic monodromies in can be written in terms of a Fredholm determinant…
Solution of tetrahedron equation and cluster algebras
Pavlo Gavrylenko, Mykola Semenyakin, Yegor Zenkevich
We notice a remarkable connection between Bazhanov-Sergeev solution of Zamolodchikov tetrahedron equation and certain well-known cluster algebra expression. The tetrahedron transfo…
Irregular conformal blocks, Painlevé III and the blow-up equations
Pavlo Gavrylenko, Andrei Marshakov, Artem Stoyan
We study the relation of irregular conformal blocks with the Painlevé III equation. The functional representation for the quasiclassical irregular block is shown to be consiste…
Circular quiver gauge theories, isomonodromic deformations and fermions on the torus
Giulio Bonelli, Fabrizio Del Monte, Pavlo Gavrylenko +1
We study the relation between class S theories on punctured tori and isomonodromic deformations of flat SL(N) connections on the two dimensional torus with punctures. Turning on th…
Crossing invariant correlation functions at from isomonodromic functions
Pavlo Gavrylenko, Raoul Santachiara
We present an approach that gives rigorous construction of a class of crossing invariant functions in CFTs from the weakly invariant distributions on the moduli space $\mathc…
Higher rank isomonodromic deformations and W-algebras
P. Gavrylenko, N. Iorgov, O. Lisovyy
We construct the general solution of a class of Fuchsian systems of rank as well as the associated isomonodromic tau functions in terms of semi-degenerate conformal blocks of $…