On the classical equivalence of monodromy matrices in squashed sigma model

DOI10.1007/JHEP06(2012)082zbMath1397.81264arXiv1203.3400OpenAlexW3098503393MaRDI QIDQ1795687

Takuya Matsumoto, Kentaroh Yoshida, Io Kawaguchi

Publication date: 16 October 2018

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

Full work available at URL: https://arxiv.org/abs/1203.3400

zbMATH Keywords

AdS-CFT correspondencesigma modelsintegrable field theories

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Groups and algebras in quantum theory and relations with integrable systems (81R12)

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Cites Work

• Unnamed Item
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• Unnamed Item
• Warped \(\mathrm{AdS}_3\)/dipole-CFT duality
• The classical origin of quantum affine algebra in squashed sigma models
• Charged magnetic brane solutions in AdS\({}_5\) and the fate of the third law of thermodynamics
• Hidden Yangian symmetry in sigma model on squashed sphere
• Review of AdS/CFT integrability, chapter VI.1: Superconformal symmetry
• Kac-Moody and Virasoro symmetries of principal chiral sigma models
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Hidden Yangians in 2D massive current algebras
• Quantum group symmetries and non-local currents in 2D QFT
• Hidden symmetries of the principal chiral model unveiled
• The large \(N\) limit of superconformal field theories and supergravity
• Classical symmetries of some two-dimensional models
• Exactly marginal operators and duality in four-dimensional \(N=1\) supersymmetric gauge theory
• Thermodynamical Bethe ansatz analysis in an \(\text{SU}(2)\times\text{U}(1)\) symmetric \(\sigma\)-model
• Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz
• The sigma model (dual) representation for a two-parameter family of integrable quantum field theories
• Classical integrability of Schrödinger sigma models and \(q\)-deformed Poincaré symmetry
• \(q\)-deformation of the \(\operatorname{AdS}_{5} \times \operatorname{S}^{5}\) superstring S-matrix and its relativistic limit
• Holographic metamagnetism, quantum criticality, and crossover behavior
• Classical integrability of the squashed three-sphere, warped AdS₃and Schrödinger spacetime via T-duality
• A quantum affine algebra for the deformed Hubbard chain
• Quantum deformations of the one-dimensional Hubbard model
• Quantum groups
• Solutions of the classical Yang-Baxter equation for simple Lie algebras