arXiv:1405.4281 · Nuclear Physics B

Reflection algebra and functional equations

W. Galléas, Jules Lamers

Published Jul 17, 2014• 17 citations

Abstract

In this work we investigate the possibility of using the reflection algebra as a source of functional equations. More precisely, we obtain functional relations determining the partition function of the six-vertex model with domain-wall boundary conditions and one reflecting end. The model's partition function is expressed as a multiple-contour integral that allows the homogeneous limit to be obtained straightforwardly. Our functional equations are also shown to give rise to a consistent set of partial differential equations satisfied by the partition function.

DOI: 10.1016/j.nuclphysb.2014.07.016

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arXiv:1405.4281 · Nuclear Physics B

Reflection algebra and functional equations

W. Galléas, Jules Lamers

Published Jul 17, 2014• 17 citations

arXiv HTML PDF

Abstract

DOI: 10.1016/j.nuclphysb.2014.07.016

Related papers

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U_q(sl_2)

R

-matrix and a special class of the triangular

K

-matrix. By using its graphical representation, we make the Izergin-Korepin analysis with the help of the Yang-Baxter relation and the reflection equation to give a characterization of the partition function. The explict form of the symmetric function representing the partition function is presented by showing that it satisfies all the required properties.