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Elliptic pfaffians and solvable lattice models (Q3302782)

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Language	Label	Description	Also known as
English	Elliptic pfaffians and solvable lattice models	scientific article

Statements

scholarly article

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Elliptic pfaffians and solvable lattice models (English)

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Journal of Statistical Mechanics: Theory and Experiment

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publication date

11 August 2020

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full work available at URL

https://arxiv.org/abs/1605.02915

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Hjalmar Rosengren

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Determinant formula for the six-vertex model

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Enumeration of symmetry classes of alternating sign matrices and characters of classical groups

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Izergin-Korepin determinant at a third root of unity

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Two variable Pfaffian identities and symmetric functions

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Sums of triangular numbers from the Frobenius determinant

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SUMS OF SQUARES FROM ELLIPTIC PFAFFIANS

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Partition identities and a theorem of Zagier

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Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions

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A proof of the Kac-Wakimoto affine denominator formula for the strange series.

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Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. II: Equivalence to a generalized ice-type lattice model.

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Three-coloring statistical model with domain wall boundary conditions: functional equations

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Hecke operators on \(\Gamma_0(m)\)

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Hall-Littlewood symmetric functions and the BKP equation

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Exact solution of the six-vertex model with domain wall boundary conditions. Ferroelectric phase

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Square ice, alternating sign matrices, and classical orthogonal polynomials

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The three-colour model with domain wall boundary conditions

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Refined functional relations for the elliptic SOS model

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The SOS model partition function and the elliptic weight functions

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An Izergin-Korepin-type identity for the 8VSOS model, with applications to alternating sign matrices

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Felder's Elliptic Quantum Group and Elliptic Hypergeometric Series on the Root System An

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Three-Colorings of the Square Lattice: A Hard Squares Model

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Special polynomials related to the supersymmetric eight-vertex model: a summary

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The eight-vertex model and Painlevé VI

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Partition function of the eight-vertex lattice model

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Eight-vertex model and non-stationary Lamé equation

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The eight-vertex model and lattice supersymmetry

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A possible combinatorial point for the XYZ spin chain

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Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. I: Some fundamental eigenvectors.

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New developments in the eight vertex model

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A new<i>Q</i>-matrix in the eight-vertex model

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The<i>Q</i>-operator and functional relations of the eight-vertex model at root-of-unity \eta = \frac{2m K}{N} for odd<i>N</i>

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Sum Rule for the Eight-Vertex Model on Its Combinatorial Line

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Identifiers

zbMATH Open document ID

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10.1088/1742-5468/2016/08/083106

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3302782

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