Baxter's T-Q equation, \(\mathrm{SU}(N)/\mathrm{SU}(2)^{N-3}\) correspondence and {\(\Omega\)}-deformed Seiberg-Witten prepotential

DOI10.1007/JHEP09(2011)125zbMath1301.81236arXiv1107.3756OpenAlexW1996527918MaRDI QIDQ480465

Kenji Muneyuki, Reiji Yoshioka, Nobuhiro Yonezawa, Ta-Sheng Tai

Publication date: 8 December 2014

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.3756

zbMATH Keywords

string dualityBethe ansatzduality in gauge field theoriesintegrable equations in physics

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Yang-Baxter equations (16T25)

Related Items (8)

Classical limit of irregular blocks and Mathieu functions ⋮ M5-branes, toric diagrams and gauge theory duality ⋮ Liouville theory, \( \mathcal{N} = 2 \) gauge theories and accessory parameters ⋮ Quantum geometry and quiver gauge theories ⋮ Solution of quantum integrable systems from quiver gauge theories ⋮ Seiberg-Witten geometry of four-dimensional \(\mathcal{N}=2\) quiver gauge theories ⋮ On non-stationary Lamé equation from WZW model and spin-1/2 XYZ chain ⋮ A 5d/3d duality from relativistic integrable system

Cites Work

• Unnamed Item
• Unnamed Item
• Extended MQCD and SUSY/non-SUSY duality
• Gauge theories on {\(\Omega\)}-backgrounds from non commutative Seiberg-Witten curves
• A new 2d/4d duality via integrability
• Quantization of integrable systems and a \(2d/4d\) duality
• Deformed prepotential, quantum integrable system and Liouville field theory
• Quantization of the Hitchin moduli spaces, Liouville theory and the geometric Langlands correspondence. I
• Seiberg-Witten prepotential from instanton counting
• Affine \(SL(2)\) conformal blocks from 4d gauge theories
• Deforming SW curve
• Gaudin model, Bethe ansatz and critical level
• Solutions of four-dimensional field theories via M-theory
• On the integrable geometry of soliton equations and \(N=2\) supersymmetric gauge theories
• Multiscale \(N=2\) SUSY field theories, integrable systems and their stringy/brane origin
• Monopoles, duality and chiral symmetry breaking in \(N=2\) supersymmetric QCD
• Separation of variables in the elliptic Gaudin model.
• Matrix models, topological strings, and supersymmetric gauge theories
• On geometry and matrix models
• Integrability and Seiberg-Witten exact solution
• Supersymmetric Yang-Mills theory and integrable systems
• Conformal bootstrap in Liouville field theory
• Knot invariants from four-dimensional gauge theory
• Electric-magnetic duality, monopole condensation, and confinement in \(N=2\) supersymmetric Yang-Mills theory
• Algebraic Bethe ansatz for the \(XYZ\) Gaudin model
• Uniformization, Calogero-Moser/Heun duality and Sutherland/bubbling pants
• Liouville correlation functions from four-dimensional gauge theories
• Partition function of the eight-vertex lattice model
• PREPOTENTIALS OF N=2 SUPERSYMMETRIC GAUGE THEORIES AND SOLITON EQUATIONS
• Quantization of Integrable Systems and Four Dimensional Gauge Theories
• Quantum Integrability and Supersymmetric Vacua
• Coulomb Phase of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">N</mml:mi><mml:mspace /><mml:mo>=</mml:mo><mml:mspace /><mml:mn>2</mml:mn><mml:mn /></mml:math>Supersymmetric QCD
• SEIBERG–WITTEN PREPOTENTIAL FROM WZNW CONFORMAL BLOCK: LANGLANDS DUALITY AND SELBERG TRACE FORMULA
• On the Bethe ansatz for the Jaynes–Cummings–Gaudin model
• Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. I: Some fundamental eigenvectors.

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