We compute the exact partition function of the isotropic 6-vertex model on a cylinder geometry with free boundary conditions, for lattices of intermediate size, using Bethe ansatz and algebraic geometry. We perform the computations in both the open and closed channels. We also consider the partial thermodynamic limits, whereby in the open (closed) channel, the open (closed) direction is kept small while the other direction becomes large. We compute the zeros of the partition function in the two partial thermodynamic limits, and compare with the condensation curves.

中文翻译：

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来自代数几何的 6 顶点模型的圆柱分配函数

我们使用 Bethe ansatz 和代数几何计算具有自由边界条件的圆柱几何体上各向同性 6 顶点模型的精确配分函数，适用于中等大小的晶格。我们在开放和封闭通道中执行计算。我们还考虑了部分热力学限制，即在开放（封闭）通道中，开放（封闭）方向保持较小而另一个方向变大。我们计算了两个局部热力学极限中分配函数的零点，并与冷凝曲线进行了比较。