Integrability as duality: the gauge/YBE correspondence
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Publication:823210
DOI10.1016/j.physrep.2020.01.006zbMath1472.81213arXiv1808.04374OpenAlexW3013009223MaRDI QIDQ823210
Publication date: 24 September 2021
Published in: Physics Reports (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.04374
Yang-Mills and other gauge theories in quantum field theory (81T13) Representations of quivers and partially ordered sets (16G20) Yang-Baxter equations (16T25) Special quantum systems, such as solvable systems (81Q80) Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.) (81T35)
Related Items
Theory and applications of the elliptic Painlevé equation, On Bailey pairs for \(\mathcal{N} = 2\) supersymmetric gauge theories on \(S_b^3/\mathbb{Z}_r\), Gamma function solutions to the star-triangle equation, Cluster-enriched Yang-Baxter equation from SUSY gauge theories, A slow review of the AGT correspondence
Cites Work
- Unnamed Item
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- The geometry of supersymmetric partition functions
- Spectral parameters for scattering amplitudes in \( \mathcal{N} =4\) super Yang-Mills theory
- 2d index and surface operators
- String theory origin of bipartite scfts
- Chern-Simons theory and S-duality
- \(3d\) dualities from \(4d\) dualities
- Quivers, YBE and 3-manifolds
- Gauge theories labelled by three-manifolds
- Four-dimensional superconformal index reloaded
- Elliptic gamma-function and multi-spin solutions of the Yang-Baxter equation
- Rigid supersymmetric theories in curved superspace
- \( {\text{SL}}\left( {2,\mathbb{R}} \right) \) Chern-Simons, Liouville, and gauge theory on duality walls
- Relation between the 4d superconformal index and the \(\mathbf S^{3}\) partition function
- Cluster algebras from dualities of 2d \({\mathcal{N}} = (2, 2)\) quiver gauge theories
- Intertwining operators for Sklyanin algebra and elliptic hypergeometric series
- Integrable spin chains on the conformal moose: \(\mathcal N= 1\) superconformal gauge theories as six-dimensional string theories
- Global symmetries and 't Hooft anomalies in brane tilings
- Type IIB superstrings, BPS monopoles, and three-dimensional gauge dynamics
- Surface defects and elliptic quantum groups
- Evaluation of state integrals at rational points
- \(\mathcal{N} = 4\) scattering amplitudes and the deformed Graßmannian
- Dimer models from mirror symmetry and quivering amoebæ
- Transformations of elliptic hypergeometric integrals
- Applications of the superconformal index for protected operators and \(q\)-hypergeometric identities to \({\mathcal N}=1\) dual theories
- Some algebraic structures connected with the Yang-Baxter equation
- Some finite-dimensional representations of generalized Sklyanin algebras
- The Yang-Baxter equations and the Zamolodchikov model
- New solvable lattice models in three dimensions
- Electric-magnetic duality in supersymmetric non-abelian gauge theories
- Rarefied elliptic hypergeometric functions
- The star-triangle relation, lens partition function, and hypergeometric sum/integrals
- Integrable lattice models from gauge theory
- Elliptic hypergeometric sum/integral transformations and supersymmetric lens index
- Cluster-enriched Yang-Baxter equation from SUSY gauge theories
- Network and Seiberg duality
- Bipartite field theories: from D-brane probes to scattering amplitudes
- Reducing the 4d index to the \(S^3\) partition function
- Gauge theory and integrability. II
- Localization for nonabelian group actions
- Classification of integrable equations on quad-graphs. The consistency approach
- A master solution of the quantum Yang-Baxter equation and classical discrete integrable equations
- New integrable models from the gauge/YBE correspondence
- Global properties of supersymmetric theories and the lens space
- Partition functions of \(\mathcal N=(2,2)\) gauge theories on \(S^2\) and vortices
- Cluster varieties from Legendrian knots
- New T-duality for Chern-Simons theory
- Short proofs of the elliptic beta integrals
- An index for 4 dimensional super conformal theories
- Faddeev-Volkov solution of the Yang-Baxter equation and discrete conformal symmetry
- 3-manifolds and 3d indices
- Elliptic genera of 2d \(\mathcal N = 2\) gauge theories
- The star-triangle relation and 3\(d\) superconformal indices
- Quiver gauge theories and integrable lattice models
- Chiral Potts model as a descendant of the six-vertex model
- Cluster algebras I: Foundations
- On the elliptic beta function
- N = 2 theories from cluster algebras
- Quantum Dilogarithm Identities at Root of Unity
- Grassmannian Geometry of Scattering Amplitudes
- Elliptic beta integrals and solvable models of statistical mechanics
- Integrable lattice models from four-dimensional field theories
- Quasi-classical expansion of the star-triangle relation and integrable systems on quad-graphs
- Cluster algebras IV: Coefficients
- Integrability from 2d ${\mathcal{N}}=(2,2)$ dualities
- New solutions of the star–triangle relation with discrete and continuous spin variables
- Brane tilings and their applications
- BRANE TILINGS
- Remarks on the quantum dilogarithm
- Lens elliptic gamma function solution of the Yang–Baxter equation at roots of unity
- Gauge Theory and Integrability, I
- Surface defects as transfer matrices
- Exactly Marginal Deformations of Quiver Gauge Theories as Seen from Brane Tilings
- COMPLEX STRUCTURES ON S 1 × S 3
- Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
- Solutions of the classical Yang-Baxter equation for simple Lie algebras