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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…
math.AP2024★ 1 cited
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…