Determinant formulas for the five-vertex model

DOI10.1088/1751-8121/abd785OpenAlexW3113868778MaRDI QIDQ5876396

I. N. Burenev, Andrei G. Pronko

Publication date: 1 February 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.01972

zbMATH Keywords

vertex modelsalgebraic Bethe ansatzPainlevé equationsquantum integrable modelsboxed plane partitionsdeterminant representations

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (3)

Quantum Hamiltonians generated by the \(R\)-matrix of the five-vertex model ⋮ Arctic curves of the four-vertex model ⋮ Five-vertex model and Lozenge tilings of a hexagon with a dent

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The five-vertex model and enumerations of plane partitions
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
• Four-vertex model and random tilings
• Studies of the Painlevé equations. I: Sixth Painlevé equation \(P_{VI}\)
• Symmetry classes of alternating-sign matrices under one roof
• On the spectrum of the non-Hermitian phase-difference model
• The partition function of the four-vertex model in a special external field
• Colored five-vertex models and Demazure atoms
• Integrability approach to Fehér-Némethi-Rimányi-Guo-Sun type identities for factorial Grothendieck polynomials
• Four-vertex model
• Rational solutions of the Painlevé VI equation
• Vertex models, TASEP and Grothendieck polynomials
• K-theoretic boson–fermion correspondence and melting crystals
• Integrable models and combinatorics
• The phase model and the norm-trace generating function of plane partitions
• Boxed plane partitions as an exactly solvable boson model
• Five-vertex model with fixed boundary conditions
• Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian
• Application of theτ-function theory of Painlevé equations to random matrices:P_VI, the JUE, CyUE, cJUE and scaled limits

This page was built for publication: Determinant formulas for the five-vertex model