vix.ing · top · new · best · stats · spec

Toda Lattice Hierarchy and Zamolodchikov's Conjecture

1995/10/23 by Saburo Kakei
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #hep-th #nlin.SI #solv-int

paper · pdf · doi:10.1143/jpsj.65.337

6 pages, LaTeX file, no figures

arxiv created 1995/10/23 · openalex publication_date 1996/02/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this letter, we show that certain Fredholm determinant D(λ;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.

Citations