SciPost logo

SciPost Submission Page

Modified rational six vertex model on the rectangular lattice

by S. Belliard, R. A. Pimenta, N. A. Slavnov

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Samuel Belliard
Submission information
Preprint Link:  (pdf)
Date accepted: 2023-12-19
Date submitted: 2023-12-10 10:54
Submitted by: Belliard, Samuel
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Mathematical Physics
Approach: Theoretical


We consider a rational six vertex model on a rectangular lattice with boundary conditions that generalize the usual domain wall type. We find that the partition function of the inhomogeneous version of this model is given by a modified Izergin determinant. The proofs are based on the quantum inverse scattering method and its representation theory together with elementary linear algebra.

Author comments upon resubmission

We thank the referees for their positive opinion on our paper and for the time and effort they took to review it. We have corrected several typos noted by the referees. For clarification, we added a comment before (4.15) clarifying that $\Delta(\bar u)$ is given by a ratio of determinants of the Vandermonde type.


The Author

Published as SciPost Phys. 16, 009 (2024)

Login to report or comment