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Zapiski Nauchnykh Seminarov POMI, 2023, Volume 520, Pages 227–238 (Mi znsl7319)  
Polynomial structure in determinants for Izergin–Korepin partition function

A. G. Pronko, V. O. Tarasov

Steklov Mathematical Institute, Fontanka 27, St. Petersburg, 191023, Russia
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Abstract: 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.
Key words and phrases: Bethe ansatz, vertex models, domain wall boundary conditions, determinant representations.
Funding agency Grant number
Foundation for the Development of Theoretical Physics and Mathematics BASIS 21-7-1-32-1
The first author (A.G.P.) acknowledges support from the BASIS Foundation, grant #21-7-1-32-1.
Received: 02.07.2023
Document Type: Article
UDC: 517
Language: English
Citation: A. G. Pronko, V. O. Tarasov, “Polynomial structure in determinants for Izergin–Korepin partition function”, Questions of quantum field theory and statistical physics. Part 29, Zap. Nauchn. Sem. POMI, 520, POMI, St. Petersburg, 2023, 227–238
Citation in format AMSBIB
\Bibitem{ProTar23}
\by A.~G.~Pronko, V.~O.~Tarasov
\paper Polynomial structure in determinants for Izergin--Korepin partition function
\inbook Questions of quantum field theory and statistical physics. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 2023
\vol 520
\pages 227--238
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7319}
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