Abstract: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 Zamolodchikov conjecture for Liouville conformal blocks on a one-punctured torus, using their probabilistic construction and show the existence of a positive radius of convergence of the semi-classical limit. As a consequence, we obtain a closed form expression for the solution of the Lamé equation, and show a relation between its accessory parameter and the classical action of the non-autonomous elliptic Calogero-Moser model evaluated at specific values of the solution.
From: Harini Desiraju [view email]
[v1]
Mon, 8 Jul 2024 11:38:28 UTC (112 KB)
[v2]
Wed, 18 Sep 2024 14:33:29 UTC (113 KB)
[v3]
Tue, 14 Jul 2026 16:55:56 UTC (131 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理，仅供阅读参考。 原文来自 — 版权归原作者所有。