XXZ scalar products and KP
Mathematical Physics
2009-07-18 v1 math.MP
Abstract
Using a Jacobi-Trudi-type identity, we show that the scalar product of a general state and a Bethe eigenstate in a finite-length XXZ spin-1/2 chain is (a restriction of) a KP tau function. This leads to a correspondence between the eigenstates and points on Sato's Grassmannian. Each of these points is a function of the rapidities of the corresponding eigenstate, the inhomogeneity variables of the spin chain and the crossing parameter.
Keywords
Cite
@article{arxiv.0903.2611,
title = {XXZ scalar products and KP},
author = {O Foda and M Wheeler and M Zuparic},
journal= {arXiv preprint arXiv:0903.2611},
year = {2009}
}
Comments
14 pages, LaTeX2E