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

Zoltan Bajnok, Jesper Lykke Jacobsen, Yunfeng Jiang, Rafael I. Nepomechie, Yang Zhang

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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.

Original languageEnglish (US)
Article number169
JournalJournal of High Energy Physics
Issue number6
StatePublished - Jun 1 2020


  • Bethe Ansatz
  • Differential and Algebraic Geometry
  • Lattice Integrable Models

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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