15 citations · 69 across the 13 of their papers we have counts for
4 papers · 1 filter
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…