{ "id": "2310.05850", "version": "v2", "published": "2023-10-09T16:48:40.000Z", "updated": "2023-12-07T09:44:27.000Z", "title": "Modified rational six vertex model on the rectangular lattice", "authors": [ "S. Belliard", "R. A. Pimenta", "N. A. Slavnov" ], "comment": "20 pages, 7 figures, to appear in SciPost, V2 typos corrected", "categories": [ "math-ph", "cond-mat.stat-mech", "math.MP", "quant-ph" ], "abstract": "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.", "revisions": [ { "version": "v2", "updated": "2023-12-07T09:44:27.000Z" } ], "analyses": { "keywords": [ "vertex model", "rectangular lattice", "modified rational", "usual domain wall type", "elementary linear algebra" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable" } } }