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arXiv · 1405.4281

Reflection algebra and functional equations

W. Galleas·J. Lamers
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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 for the partition function.

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BibTeXRIS

W. Galleas, J. Lamers. 2014-07-14. Reflection algebra and functional equations. https://doi.org/10.1016/j.nuclphysb.2014.07.016

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