期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 40, 期 39, 页码 11827-11847出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/40/39/009
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Integral formulae for polynomial solutions of the quantum Knizhnik Zamolodchikov equations associated with the R-matrix of the six-vertex model are considered. It is proved that when the deformation parameter q is equal to e(+/- 2 pi i)/3 and the number of vertical lines of the lattice is odd, the solution under consideration is an eigenvector of the inhomogeneous transfer matrix of the six-vertex model. In the homogeneous limit, it is a ground-state eigenvector of the antiferromagnetic XXZ spin chain with the anisotropy parameter Delta equal to -1/2 and an odd number of sites. The obtained integral representations for the components of this eigenvector allow us to prove some conjectures on its properties formulated earlier. A new statement relating the ground-state components of XXZ spin chains and Temperley-Lieb loop models is formulated and proved.
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