An Ising-type formulation of the six-vertex model

DOI10.1016/j.nuclphysb.2022.116055OpenAlexW4312058197MaRDI QIDQ2678741

Vladimir V. Bazhanov, Sergey M. Sergeev

Publication date: 24 January 2023

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.10708

Mathematics Subject Classification ID

Quantum theory (81-XX) Relativity and gravitational theory (83-XX)

Cites Work

• Stochastic six-vertex model
• From principal series to finite-dimensional solutions of the Yang-Baxter equation
• Tetrahedron equation and quantum \(R\) matrices for spin representations of \(B^{(1)}_n\), \(D^{(1)}_n\) and \(D^{(2)}_{n+1}\)
• Phase diagram of an integrable alternating \(U_q[sl(2|1)\) superspin chain]
• A new generalisation of Macdonald polynomials
• Calculation of norms of Bethe wave functions
• Solutions of the classical Yang-Baxter equation for simple superalgebras
• Baxter \(Q\)-operators of the \(XXZ\) chain and \(R\)-matrix factorization
• The antiferromagnetic transition for the square-lattice Potts model
• \(Q\)-operators in the six-vertex model
• Baxter's relations and spectra of quantum integrable models
• Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• The Yang-Baxter equations and the Zamolodchikov model
• Quantum R matrix for the generalized Toda system
• Solvable lattice models related to the vector representation of classical simple Lie algebras
• Trigonometric solutions of triangle equations. Simple Lie superalgebras
• Baxter's equations and algebraic geometry
• Generalized chiral Potts models and minimal cyclic representations of \(U_ q (\widehat {\mathfrak gl}(n,C))\)
• Universal \(R\)-matrix for quantized (super)algebras
• New solvable lattice models in three dimensions
• Integrable structure of conformal field theory. II: \(Q\)-operator and DDV equation
• Integrable structure of conformal field theory. III: The Yang-Baxter relation
• Hirota equation as an example of an integrable symplectic map
• The vertex formulation of the Bazhanov-Baxter model.
• \((Z_ N\times\;)^{n-1}\) generalization of the chiral Potts model
• Tetrahedron equation and quantum \(R\) matrices for modular double of \(U_q(D^{(2)}_{n+1}), U_q (A ^{(2)}_{2n})\) and \(U_q(C^{(1)}_{n})\)
• Some algebraic aspects of the inhomogeneous six-vertex model
• Equilibrium density matrices for the 2D black hole sigma models from an integrable spin chain
• Scaling limit of the \(\mathcal{Z}_2\) invariant inhomogeneous six-vertex model
• The staggered six-vertex model: conformal invariance and corrections to scaling
• On the Yang-Baxter equation for the six-vertex model
• A staggered six-vertex model with non-compact continuum limit
• Partition function of the eight-vertex lattice model
• Chiral Potts model as a descendant of the six-vertex model
• The quantum symmetricXXZchain at Δ = -½, alternating-sign matrices and plane partitions
• Complex of three-dimensional solvable models
• Nonlinear integral equations for the $\mathrm{SL}(2,\mathbb {R})/\mathrm{U}(1)$ black hole sigma model
• An integrable 3D lattice model with positive Boltzmann weights
• Construction ofR-matrices for symmetric tensor representations related to ${U}_{q}(\hat{{{sl}}_{n}})$
• Supertetrahedra and superalgebras
• Asymptotic representations and Drinfeld rational fractions
• Tetrahedron equation and generalized quantum groups
• New construction of solvable lattice models including an Ising model in a field
• Spin chains and combinatorics
• Lectures on the integrability of the 6-vertex model
• Quantum 2 + 1 evolution model
• Zamolodchikov's tetrahedron equation and hidden structure of quantum groups
• Study of Exactly Soluble One-Dimensional N-Body Problems
• The algebraic Bethe ansatz and quantum integrable systems
• Quantum groups and functional relations for higher rank
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
• On the Transformation Theory of Basic Hypergeometric Functions
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
• Quantum geometry of three-dimensional lattices
• On the construction of trigonometric solutions of the Yang-Baxter equation
• Solutions of the classical Yang-Baxter equation for simple Lie algebras
• Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. I: Some fundamental eigenvectors.
• 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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