Symmetry classes of alternating sign matrices in a nineteen-vertex model
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Publication:3302642
DOI10.1088/1742-5468/2016/05/053111zbMath1456.82266arXiv1601.01859OpenAlexW2223584687MaRDI QIDQ3302642
Alexi Morin-Duchesne, Christian Hagendorf
Publication date: 11 August 2020
Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.01859
Exactly solvable models; Bethe ansatz (82B23) Quantum equilibrium statistical mechanics (general) (82B10)
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Cites Work
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- On the weighted enumeration of alternating sign matrices and descending plane partitions
- Alternating-sign matrices and domino tilings. II
- Refined Cauchy and Littlewood identities, plane partitions and symmetry classes of alternating sign matrices
- Punctured plane partitions and the \(q\)-deformed Knizhnik-Zamolodchikov and Hirota equations
- Conformal invariance, the XXZ chain and the operator content of two- dimensional critical systems
- Trigonometric solutions of triangle equations. Simple Lie superalgebras
- Yang-Baxter equation and representation theory. I
- On some representations of the six vertex model partition function
- Around the Razumov-Stroganov conjecture: proof of a multi-parameter sum rule
- Symmetry classes of alternating-sign matrices under one roof
- Spin chains with dynamical lattice supersymmetry
- Higher spin polynomial solutions of quantum Knizhnik-Zamolodchikov equation
- The higher spin generalization of the 6-vertex model with domain wall boundary conditions and Macdonald polynomials
- Antiperiodic XXZ chains with arbitrary spins: complete eigenstate construction by functional equations in separation of variables
- Combinatorial point for fused loop models
- Enumeration of symmetry classes of alternating sign matrices and characters of classical groups
- The importance of being odd
- The quantum symmetricXXZchain at Δ = -½, alternating-sign matrices and plane partitions
- Correlation functions of the higher spinXXXchains
- Exact expressions for correlations in the ground state of the dense O(1) loop model
- Exact conjectured expressions for correlations in the dense O(1) loop model on cylinders
- The operator content of the ferromagnetic and antiferromagnetic spin-1 Zamolodchikov-Fateev quantum chain
- The nineteen-vertex model and alternating sign matrices
- Central charges of the 6- and 19-vertex models with twisted boundary conditions
- Determinant formula for the six-vertex model
- Emptiness formation probability of theXXZspin- Heisenberg chain at
- On the partition function of the six-vertex model with domain wall boundary conditions
- Spin chains and combinatorics
- Determinant formula for the six-vertex model with reflecting end
- Boundary conditions for integrable quantum systems
- Spin chains and combinatorics: twisted boundary conditions
- Non-local spacetime supersymmetry on the lattice
- The XXZ spin chain at Δ=−1/2: Bethe roots, symmetric functions, and determinants
- Higher spin vertex models with domain wall boundary conditions
- Finite size emptiness formation probability of the XXZ spin chain at $\Delta =-\frac{1}{2}$
- Form factors and complete spectrum of XXX antiperiodic higher spin chains by quantum separation of variables
- Polynomial solutions ofqKZ equation and ground state of XXZ spin chain at Δ = −1/2
- The quantum Knizhnik–Zamolodchikov equation, generalized Razumov–Stroganov sum rules and extended Joseph polynomials