Off-Shell Bethe States and the Six-Vertex Model


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Abstract

We study the symmetric six-vertex model on a finite square lattice with partial domain wall boundary conditions. We use the known connection of the model to the off-shell Bethe states of the Heisenberg XXZ spin chain. We obtain various formulas for the partition function, and also discuss the model in the limit of semiinfinite lattice.

About the authors

A. G. Pronko

St.Petersburg Department of Steklov Institute of Mathematics

Author for correspondence.
Email: agp@pdmi.ras.ru
Russian Federation, St.Petersburg

G. P. Pronko

Institute for High Energy Physics, The National Research Center “Kurchatov Institute,”

Email: agp@pdmi.ras.ru
Russian Federation, Protvino


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