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Solution of tetrahedron equation and cluster algebras (Q2047981)

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Language	Label	Description	Also known as
English	Solution of tetrahedron equation and cluster algebras	scientific article

Statements

scholarly article

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Solution of tetrahedron equation and cluster algebras (English)

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Yegor Zenkevich

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P. G. Gavrylenko

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Journal of High Energy Physics

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publication date

4 August 2021

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full work available at URL

https://arxiv.org/abs/2010.15871

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zbMATH Keywords

integrable hierarchies

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lattice integrable models

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quantum groups

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MaRDI profile type

MaRDI publication profile

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Vector-relation configurations and plabic graphs

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New solvable lattice models in three dimensions

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Star-triangle relation for a three-dimensional model

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Zamolodchikov's tetrahedron equation and hidden structure of quantum groups

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Cluster integrable systems, \(q\)-Painlevé equations and their quantization

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Plane partitions with a ``pit'': generating functions and representation theory

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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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Quantum geometry of three-dimensional lattices

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Quantum Geometry of 3-Dimensional Lattices and Tetrahedron Equation

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Cluster algebras from dualities of 2d \({\mathcal{N}} = (2, 2)\) quiver gauge theories

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Moduli of monopole walls and amoebas

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Dimer models and integrable systems

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Cluster ensembles, quantization and the dilogarithm

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Loop Groups, Clusters, Dimers and Integrable Systems

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Branching rules for quantum toroidal \(\mathfrak{gl}_n\)

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Total positivity: tests and parametrizations.

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Dimers and cluster integrable systems

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Binomial determinants, paths, and hook length formulae

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Poisson geometry of directed networks in a disk

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Poisson geometry of directed networks in an annulus

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Generalized Bäcklund-Darboux transformations for Coxeter-Toda flows from a cluster algebra perspective

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Integrable cluster dynamics of directed networks and pentagram maps

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Braids, complex volume and cluster algebras

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On the cluster nature and quantization of geometric \(R\)-matrices

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Tetrahedral Zamolodchikov algebras corresponding to Baxter's \(L\)- operators

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Functional tetrahedron equation

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SPATIAL SYMMETRY, LOCAL INTEGRABILITY AND TETRAHEDRON EQUATIONS IN THE BAXTER-BAZHANOV MODEL

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Tetrahedron equation and generalized quantum groups

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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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On the Vector Representations of Induced Matroids

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Total positivity in loop groups. I: Whirls and curls

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On \(W\) algebras commuting with a set of screenings

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On dual description of the deformed \(O(N)\) sigma model

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Lie groups, cluster variables and integrable systems

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An integrable 3D lattice model with positive Boltzmann weights

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Cluster integrable systems and spin chains

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Cluster algebras with Grassmann variables

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Quantum 2 + 1 evolution model

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Solutions of the functional tetrahedron equation connected with the local Yang-Baxter equation for the ferro-electric condition

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Supertetrahedra and superalgebras

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The vertex formulation of the Bazhanov-Baxter model.

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A Formula for Plucker Coordinates Associated with a Planar Network

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Cluster-enriched Yang-Baxter equation from SUSY gauge theories

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Identifiers

zbMATH Open document ID

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10.1007/JHEP05(2021)103

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2047981

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