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The eight-vertex model and lattice supersymmetry (Q2428511)

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Language	Label	Description	Also known as
English	The eight-vertex model and lattice supersymmetry	scientific article

Statements

scholarly article

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The eight-vertex model and lattice supersymmetry (English)

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zbMATH Open document ID

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10.1007/s10955-012-0430-0

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Christian Hagendorf

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Journal of Statistical Physics

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publication date

26 April 2012

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full work available at URL

https://arxiv.org/abs/1109.4090

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https://archive-ouverte.unige.ch/unige:114942

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

supersymmetry

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lattice models

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Bethe ansatz

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MaRDI profile type

MaRDI publication profile

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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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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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Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. III: Eigenvectors of the transfer matrix and Hamiltonian.

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Completeness of the Bethe ansatz for the six- and eight-vertex models.

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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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The su(2|3) Undynamic Spin Chain

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Quantum group symmetries and non-local currents in 2D QFT

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Proof of the Razumov-Stroganov conjecture

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The XXZ spin chain at Δ=−1/2: Bethe roots, symmetric functions, and determinants

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Construction of some missing eigenvectors of the XYZ spin chain at the discrete coupling constants and the exponentially large spectral degeneracy of the transfer matrix

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The \(sl_2\) loop algebra symmetry of the six-vertex model at roots of unity

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A refined Razumov–Stroganov conjecture

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A refined Razumov–Stroganov conjecture: II

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Around the Razumov-Stroganov conjecture: proof of a multi-parameter sum rule

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Finite lattice Bethe ansatz systems and the Heun equation

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New developments in the eight vertex model

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New developments in the eight vertex model. II: Chains of odd length

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An elliptic current operator for the eight-vertex model

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Exact and simple results for the XYZ and strongly interacting fermion chains

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Lattice fermion models with supersymmetry

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Magic in the spectra of the \(XXZ\) quantum chain with boundaries at \(\Delta =0\) and \(\Delta = - 1/2\)

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Quantum phases of supersymmetric lattice models

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Supersymmetry, lattice fermions, independence complexes and cohomology theory

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The twisted XXZ chain at roots of unity revisited

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

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Studies of the Painlevé equations. I: Sixth Painlevé equation \(P_{VI}\)

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Spin chains and combinatorics

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Spin chains and combinatorics: twisted boundary conditions

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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 of<i>q</i>KZ equation and ground state of XXZ spin chain at Δ = −1/2

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The three-colour model with domain wall boundary conditions

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The importance of being odd

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Bethe ansatz for higher spin eight-vertex models

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Non-local spacetime supersymmetry on the lattice

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Combinatorial point for fused loop models

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Sitelinks

Mathematics(1 entry)

mardi Publication:2428511

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