12 citations · 31 across the 12 of their papers we have counts for
10 papers · 1 filter
A Tau function for -Painlevé VI as a Fredholm determinant
Harini Desiraju, Pieter Roffelsen
We give an analytic construction of a tau function for the -difference sixth Painlevé equation (PVI) as a Fredholm determinant through the general Riemann-Hilbert problem ass…
Irregular SLE(4) martingales and isomonodromic deformations
Harini Desiraju, Aleksandra Korzhenkova, Eveliina Peltola
We consider non-Fuchsian monodromy preserving deformations on a Riemann sphere. The associated isomonodromic deformation parameters on this surface comprise the positions of the si…
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…
Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials
Harini Desiraju, Sampad Lahiry
In recent years, there has been significant progress in the theory of orthogonal polynomials on algebraic curves, particularly on genus 1 surfaces. In this paper, we focus on ellip…
Proof of Zamolodchikov conjecture for semi-classical conformal blocks on the torus
Harini Desiraju, Promit Ghosal, Andrei Prokhorov
In 1986, Zamolodchikov conjectured an exponential structure for the semi-classical limit of conformal blocks on a sphere. This paper provides a rigorous proof of the analog of Zamo…
Painlevé/CFT correspondence on a torus
Harini Desiraju
This note details the relationship between the isomonodromic tau-function and conformal blocks, on a torus with one simple pole. It is based on the author's talk at ICMP 2021.
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…
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…
Fredholm determinant representation of the Painlevé II -function
Harini Desiraju
We formulate the generic -function of the Painlevé II equation as a Fredholm determinant of an integrable (Its-Izergin-Korepin-Slavnov) operator. The -function depends on the…
The -function of the Ablowitz-Segur family of solutions to Painlevé II as a Widom constant
Harini Desiraju
-functions of certain Painlevé equations (PVI,PV,PIII) can be expressed as a Fredholm determinant. Further, the minor expansion of these determinants provide an interesting conn…