conformal field theory 1elliptic integrable systems 1lamé equation 1semi-classical analysis 1torus geometry 1
From the 1 of 4 linked papers with an AI index.
3 papers
math-ph2026
Proof of Zamolodchikov conjecture for semi-classical conformal blocks on the torus
Harini Desiraju, Promit Ghosal, Andrei Prokhorov
The paper rigorously proves a conjectured exponential form for the semi‑classical limit of Liouville conformal blocks on a one‑punctured torus, establishing convergence and linking…
math.AP2025
Nonlinear steepest descent on a torus: A case study of the Landau-Lifshitz equation
Harini Desiraju, Alexander R. Its, Andrei Prokhorov
We obtain rigorous large time asymptotics for the Landau-Lifshitz equation in the soliton free case by extending the nonlinear steepest descent method to genus 1 surfaces. The meth…
math-ph2024
On some Hamiltonian properties of the isomonodromic tau functions
A. R. Its, A. Prokhorov
We discuss some new aspects of the theory of the Jimbo-Miwa-Ueno tau function which have come to light within the recent developments in the global asymptotic analysis of the tau f…