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math-ph2024
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-ph2018★ 21 cited
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…
math-ph2016★ 50 cited
Monodromy dependence and connection formulae for isomonodromic tau functions
A. Its, O. Lisovyy, A. Prokhorov
We discuss an extension of the Jimbo-Miwa-Ueno differential 1-form to a form closed on the full space of extended monodromy data of systems of linear ordinary differential equation…