Toda Lattice Hierarchy and Zamolodchikov's Conjecture

Abstract

In this letter, we show that certain Fredholm determinant $D(\lambda ;t)$, introduced by Zamolodchikov in his study of 2D polymers, is a continuum limit of soliton solution for the Toda lattice hierarchy with 2-periodic reduction condition.

6 pages, LaTeX file, no figures

References in corpus (2)

• Painleve III and 2D Polymers
• Differential Equations for Sine-Gordon Correlation Functions at the Free Fermion Point

Cited by in corpus (2)

• Functional representation of the Ablowitz-Ladik hierarchy
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