Polynomial Structure in Determinants for Izergin–Korepin Partition Function

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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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2024, Vol.284 (5), p.726-734
Hauptverfasser: Pronko, A. G., Tarasov, V. O.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Domain walls
Mathematics
Mathematics and Statistics
Partitions (mathematics)
Polynomials
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Zusammenfassung: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