An Ising-type formulation of the six-vertex model (Q2678741)

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scientific article; zbMATH DE number 7645228

Language	Label	Description	Also known as
English	An Ising-type formulation of the six-vertex model	scientific article; zbMATH DE number 7645228

Statements

scholarly article

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An Ising-type formulation of the six-vertex model (English)

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publication date

24 January 2023

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full work available at URL

https://arxiv.org/abs/2205.10708

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Vladimir V. Bazhanov

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Sergey M. Sergeev

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MaRDI profile type

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Study of Exactly Soluble One-Dimensional <i>N</i>-Body Problems

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Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction

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Partition function of the eight-vertex lattice model

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Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation

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Solutions of the classical Yang-Baxter equation for simple Lie algebras

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Quantum R matrix for the generalized Toda system

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Solutions of the classical Yang-Baxter equation for simple superalgebras

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Trigonometric solutions of triangle equations. Simple Lie superalgebras

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Universal \(R\)-matrix for quantized (super)algebras

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New construction of solvable lattice models including an Ising model in a field

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On the construction of trigonometric solutions of the Yang-Baxter equation

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Quantum groups and functional relations for higher rank

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From principal series to finite-dimensional solutions of the Yang-Baxter equation

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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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Solvable lattice models related to the vector representation of classical simple Lie algebras

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New solvable lattice models in three dimensions

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Zamolodchikov's tetrahedron equation and hidden structure of quantum groups

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The Yang-Baxter equations and the Zamolodchikov model

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The vertex formulation of the Bazhanov-Baxter model.

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Quantum 2 + 1 evolution model

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Complex of three-dimensional solvable models

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Quantum geometry of three-dimensional lattices

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An integrable 3D lattice model with positive Boltzmann weights

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On the Yang-Baxter equation for the six-vertex model

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On the Transformation Theory of Basic Hypergeometric Functions

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\((Z_ N\times\;)^{n-1}\) generalization of the chiral Potts model

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Generalized chiral Potts models and minimal cyclic representations of \(U_ q (\widehat {\mathfrak gl}(n,C))\)

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Chiral Potts model as a descendant of the six-vertex model

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Hirota equation as an example of an integrable symplectic map

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Baxter \(Q\)-operators of the \(XXZ\) chain and \(R\)-matrix factorization

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Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities

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Baxter's equations and algebraic geometry

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Integrable structure of conformal field theory. II: \(Q\)-operator and DDV equation

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Integrable structure of conformal field theory. III: The Yang-Baxter relation

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\(Q\)-operators in the six-vertex model

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Some algebraic aspects of the inhomogeneous six-vertex model

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Calculation of norms of Bethe wave functions

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The algebraic Bethe ansatz and quantum integrable systems

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Construction of<i>R</i>-matrices for symmetric tensor representations related to ${U}_{q}(\hat{{{sl}}_{n}})$

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Supertetrahedra and superalgebras

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Tetrahedron equation and generalized quantum groups

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Tetrahedron equation and quantum \(R\) matrices for modular double of \(U_q(D^{(2)}_{n+1}), U_q (A ^{(2)}_{2n})\) and \(U_q(C^{(1)}_{n})\)

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Tetrahedron equation and quantum \(R\) matrices for spin representations of \(B^{(1)}_n\), \(D^{(1)}_n\) and \(D^{(2)}_{n+1}\)

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Asymptotic representations and Drinfeld rational fractions

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Baxter's relations and spectra of quantum integrable models

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Lectures on the integrability of the 6-vertex model

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Spin chains and combinatorics

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The quantum symmetric \(XXZ\) chain at \(\Delta=-\frac 12\), alternating-sign matrices and plane partitions

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Stochastic six-vertex model

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A new generalisation of Macdonald polynomials

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The antiferromagnetic transition for the square-lattice Potts model

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A staggered six-vertex model with non-compact continuum limit

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Phase diagram of an integrable alternating \(U_q[sl(2|1)]\) superspin chain

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Nonlinear integral equations for the \(\mathrm{SL}(2,\mathbb{R})/\mathrm{U}(1)\) black hole sigma model

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The staggered six-vertex model: conformal invariance and corrections to scaling

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Scaling limit of the \(\mathcal{Z}_2\) invariant inhomogeneous six-vertex model

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Equilibrium density matrices for the 2D black hole sigma models from an integrable spin chain

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Nuclear Physics B

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.NUCLPHYSB.2022.116055

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Sitelinks

Mathematics(1 entry)

mardi Publication:2678741

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