Exact results for the six-vertex model with domain wall boundary conditions and a partially reflecting end

DOI10.1007/S11005-022-01530-5zbMath1487.82008arXiv2104.05389OpenAlexW3154894485MaRDI QIDQ2131224

Linnea Hietala

Publication date: 25 April 2022

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.05389

zbMATH Keywords

partition functionsix-vertex modeldomain wall boundary conditionsreflecting endtriangular \(K\)-matrix

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Uses Software

• ROBBINS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Calculation of norms of Bethe wave functions
• Alternating sign matrices and descending plane partitions
• Partial domain wall partition functions
• Symmetry classes of alternating-sign matrices under one roof
• Proof of the alternating sign matrix conjecture
• Summation theorems for multidimensional basic hypergeometric series by determinant evaluations
• A combinatorial description of certain polynomials related to the XYZ spin chain
• Overlaps between eigenstates of the XXZ spin-1/2 chain and a class of simple product states
• Overlaps of partial Néel states and Bethe states
• Determinant formula for the six-vertex model
• Determinant formula for the six-vertex model with reflecting end
• Boundary conditions for integrable quantum systems
• The role of orthogonal polynomials in the six-vertex model and its combinatorial applications

This page was built for publication: Exact results for the six-vertex model with domain wall boundary conditions and a partially reflecting end