Polynomial Structure in Determinants for Izergin–Korepin Partition Function

We discuss determinant formulas for the partition function of the six-vertex model with domain wall boundary conditions, which are parametrized by an arbitrary basis of polynomials. In this note we show that our recent result on this problem admits a one-parameter extension.

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 284; no. 5; pp. 726 - 734
Main Authors Pronko, A. G., Tarasov, V. O.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 2024
Springer Nature B.V
Subjects
Boundary conditions
Domain walls
Mathematics
Mathematics and Statistics
Partitions (mathematics)
Polynomials
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Summary:We discuss determinant formulas for the partition function of the six-vertex model with domain wall boundary conditions, which are parametrized by an arbitrary basis of polynomials. In this note we show that our recent result on this problem admits a one-parameter extension.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-024-07381-w