Integrability as duality: the gauge/YBE correspondence (Q823210)

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English	Integrability as duality: the gauge/YBE correspondence	scientific article

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scholarly article

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Integrability as duality: the gauge/YBE correspondence (English)

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Masahito Yamazaki

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Physics Reports

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publication date

24 September 2021

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full work available at URL

https://arxiv.org/abs/1808.04374

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MaRDI profile type

MaRDI publication profile

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

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Integrable lattice models from four-dimensional field theories

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Integrable lattice models from gauge theory

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Gauge theory and integrability. II

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Gauge Theory and Integrability, I

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Quivers, YBE and 3-manifolds

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New integrable models from the gauge/YBE correspondence

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A master solution of the quantum Yang-Baxter equation and classical discrete integrable equations

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Elliptic gamma-function and multi-spin solutions of the Yang-Baxter equation

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Elliptic beta integrals and solvable models of statistical mechanics

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Network and Seiberg duality

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Quiver gauge theories and integrable lattice models

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Integrability from 2d ${\mathcal{N}}=(2,2)$ dualities

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The star-triangle relation and 3\(d\) superconformal indices

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New solutions of the star–triangle relation with discrete and continuous spin variables

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The star-triangle relation, lens partition function, and hypergeometric sum/integrals

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Quasi-classical expansion of the star-triangle relation and integrable systems on quad-graphs

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Surface defects as transfer matrices

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Rarefied elliptic hypergeometric functions

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Cluster-enriched Yang-Baxter equation from SUSY gauge theories

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Surface defects and elliptic quantum groups

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Elliptic hypergeometric sum/integral transformations and supersymmetric lens index

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Brane tilings and their applications

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Exactly Marginal Deformations of Quiver Gauge Theories as Seen from Brane Tilings

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Bipartite field theories: from D-brane probes to scattering amplitudes

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Electric-magnetic duality in supersymmetric non-abelian gauge theories

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2d index and surface operators

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

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Cluster algebras I: Foundations

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Cluster algebras IV: Coefficients

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The Yang-Baxter equations and the Zamolodchikov model

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New solvable lattice models in three dimensions

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String theory origin of bipartite scfts

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Grassmannian Geometry of Scattering Amplitudes

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Spectral parameters for scattering amplitudes in \( \mathcal{N} =4\) super Yang-Mills theory

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\(\mathcal{N} = 4\) scattering amplitudes and the deformed Graßmannian

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\( {\text{SL}}\left( {2,\mathbb{R}} \right) \) Chern-Simons, Liouville, and gauge theory on duality walls

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Chern-Simons theory and S-duality

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Gauge theories labelled by three-manifolds

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3-manifolds and 3d indices

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Rigid supersymmetric theories in curved superspace

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Global symmetries and 't Hooft anomalies in brane tilings

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Dimer models from mirror symmetry and quivering amoebæ

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Cluster varieties from Legendrian knots

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Type IIB superstrings, BPS monopoles, and three-dimensional gauge dynamics

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New T-duality for Chern-Simons theory

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\(3d\) dualities from \(4d\) dualities

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COMPLEX STRUCTURES ON S <sup>1</sup> × S <sup>3</sup>

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The geometry of supersymmetric partition functions

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An index for 4 dimensional super conformal theories

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Faddeev-Volkov solution of the Yang-Baxter equation and discrete conformal symmetry

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Applications of the superconformal index for protected operators and \(q\)-hypergeometric identities to \({\mathcal N}=1\) dual theories

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Reducing the 4d index to the \(S^3\) partition function

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Relation between the 4d superconformal index and the \(\mathbf S^{3}\) partition function

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Partition functions of \(\mathcal N=(2,2)\) gauge theories on \(S^2\) and vortices

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Four-dimensional superconformal index reloaded

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

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Elliptic genera of 2d \(\mathcal N = 2\) gauge theories

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Localization for nonabelian group actions

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Global properties of supersymmetric theories and the lens space

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Transformations of elliptic hypergeometric integrals

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On the elliptic beta function

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Short proofs of the elliptic beta integrals

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Intertwining operators for Sklyanin algebra and elliptic hypergeometric series

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Some algebraic structures connected with the Yang-Baxter equation

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Some finite-dimensional representations of generalized Sklyanin algebras

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Lens elliptic gamma function solution of the Yang–Baxter equation at roots of unity

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Remarks on the quantum dilogarithm

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Evaluation of state integrals at rational points

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Quantum Dilogarithm Identities at Root of Unity

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Classification of integrable equations on quad-graphs. The consistency approach

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

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Integrable spin chains on the conformal moose: \(\mathcal N= 1\) superconformal gauge theories as six-dimensional string theories

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N = 2 theories from cluster algebras

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.PHYSREP.2020.01.006

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Sitelinks

Mathematics(1 entry)

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