Nearest-neighbour correlation functions for the supersymmetric XYZ spin chain and Painlevé VI (Q6125780)

scientific article; zbMATH DE number 7831309

Language	Label	Description	Also known as
English	Nearest-neighbour correlation functions for the supersymmetric XYZ spin chain and Painlevé VI	scientific article; zbMATH DE number 7831309

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instance of

scholarly article

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title

Nearest-neighbour correlation functions for the supersymmetric XYZ spin chain and Painlevé VI (English)

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Communications in Mathematical Physics

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publication date

11 April 2024

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full work available at URL

https://arxiv.org/abs/2208.13533

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zbMATH Keywords

XYZ spin chain

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Painlevé VI

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MaRDI profile type

MaRDI publication profile

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cites work

Partition function of the eight-vertex lattice model

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

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Q3324796

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Eight-vertex model and non-stationary Lamé equation

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The eight-vertex model and Painlevé VI

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Analytic theory of the eight-vertex model

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The eight-vertex model and Painlevé VI equation II: eigenvector results

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Traces on the Sklyanin algebra and correlation functions of the eight-vertex model

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Sum rules for the supersymmetric eight-vertex model

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Finite size emptiness formation probability of the XXZ spin chain at $\Delta =-\frac{1}{2}$

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Proof of the Razumov-Stroganov conjecture

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The master Painlevé VI heat equation

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A newQ-matrix in the eight-vertex model

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The eight-vertex model and lattice supersymmetry

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Theta function solutions of the quantum Knizhnik–Zamolodchikov–Bernard equation for a face model

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Q3084090

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On the transfer matrix of the supersymmetric eight-vertex model. I. Periodic boundary conditions

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A combinatorial description of certain polynomials related to the XYZ spin chain

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A combinatorial description of certain polynomials related to the XYZ spin chain. II: The polynomials $p_n$

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Difference equations for the correlation functions of the eight-vertex model

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Free field construction for correlation functions of the eight-vertex model

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Sixth Painlev\'e Equation, Universal Elliptic Curve, and Mirror of $\bold{P}^2$

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Q4461744

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The $2\times 2$ matrix Schlesinger system and the Belavin-Polyakov-Zamolodchikov system

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Studies of the Painlevé equations. I: Sixth Painlevé equation $P_{VI}$

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Bootstrap equations and correlation functions for the Heisenberg XYZ antiferromagnet

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Combinatorial nature of the ground-state vector of the $\mathrm{O}(1)$ loop model

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A possible combinatorial point for the XYZ spin chain

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Polynomial solutions ofqKZ equation and ground state of XXZ spin chain at Δ = −1/2

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TheQ-operator and functional relations of the eight-vertex model at root-of-unity \eta = \frac{2m K}{N} for oddN

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The three-colour model with domain wall boundary conditions

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

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FREE FIELD CONSTRUCTIONS FOR THE ELLIPTIC ALGEBRA $\rscr{A}_{q,p}(\widehat{sl}_2)$ AND BAXTER'S EIGHT-VERTEX MODEL

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The importance of being odd

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$XXZ$ spin chain with the asymmetry parameter $\Delta = -1/2$: evaluation of the simplest correlators

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Q4881160

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Q3497361

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On Darboux-Treibich-Verdier potentials

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Quantum Painlevé-Calogero correspondence for Painlevé VI

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

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Identifiers

arXiv ID

2208.13533

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DOI

10.1007/s00220-024-04977-w

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6125780