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Cylinder partition function of the 6-vertex model from algebraic geometry

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arxiv 2002.09019 v3 pith:H4L2MVME submitted 2020-02-20 hep-th cond-mat.stat-mech

Cylinder partition function of the 6-vertex model from algebraic geometry

Zoltan Bajnok , Jesper Lykke Jacobsen , Yunfeng Jiang , Rafael I. Nepomechie , Yang Zhang This is my paper
classification hep-th cond-mat.stat-mech
keywords closedfunctiongeometryopenpartitionalgebraiccomputecylinder
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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