Fredholm determinants and the mKdV/sinh-Gordon hierarchies
solv-int
2009-07-11 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
For a particular class of integral operators we show that the quantity satisfies both the integrated mKdV hierarchy and the sinh-Gordon hierarchy. This proves a conjecture of Zamolodchikov.
Keywords
Cite
@article{arxiv.solv-int/9506006,
title = {Fredholm determinants and the mKdV/sinh-Gordon hierarchies},
author = {Craig A. Tracy and Harold Widom},
journal= {arXiv preprint arXiv:solv-int/9506006},
year = {2009}
}
Comments
11 pages, LaTeX file, no figures