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Mathematical Physics

arXiv:2410.03153 (math-ph)
[Submitted on 4 Oct 2024 (v1), last revised 21 Nov 2024 (this version, v2)]

Title:Factorization of rational six vertex model partition functions

Authors:Kohei Motegi
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Abstract:We show factorization formulas for a class of partition functions of rational six vertex model. First we show factorization formulas for partition functions under triangular boundary. Further, by combining the factorization formulas with the explicit forms of the generalized domain wall boundary partition functions by Belliard-Pimenta-Slavnov, we derive factorization formulas for partition functions under trapezoid boundary which can be viewed as a generalization of triangular boundary. We also discuss an application to emptiness formation probabilities under trapezoid boundary which admit determinant representations.
Subjects: Mathematical Physics (math-ph); Combinatorics (math.CO)
Cite as: arXiv:2410.03153 [math-ph]
  (or arXiv:2410.03153v2 [math-ph] for this version)
  https://doi.org/10.48550/arXiv.2410.03153
Journal reference: Nuclear Physics B, 1009 (2024), 116743

Submission history

From: Kohei Motegi [view email]
[v1] Fri, 4 Oct 2024 05:24:38 UTC (289 KB)
[v2] Thu, 21 Nov 2024 13:10:49 UTC (290 KB)
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