Quantum line operators from Lax pairs

DOI10.1063/1.5121495zbMath1452.81130arXiv1812.06701OpenAlexW2904545874MaRDI QIDQ5136165

El Hassan Saidi

Publication date: 25 November 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.06701

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Yang-Mills and other gauge theories in quantum field theory (81T13) Strong interaction, including quantum chromodynamics (81V05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Yang-Baxter equations (16T25) Yang-Baxter equations and Rota-Baxter operators (17B38)

Related Items

Four-dimensional Chern–Simons theory and integrable field theories, On exceptional 't Hooft lines in 4D-Chern-Simons theory, Minuscule ABCDE Lax operators from 4D Chern-Simons theory, Embedding integrable superspin chain in string theory, Lax operator and superspin chains from 4D CS gauge theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solutions of the Yang-Baxter equation
• Some algebraic structures connected with the Yang-Baxter equation
• Supersymmetric two-dimensional Toda lattice
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Quantum R matrix for the generalized Toda system
• On the quantization of the Liouville Theory
• The Yang-Baxter equation and invariants of links
• Two-dimensional generalized Toda lattice
• Generalized Drinfel'd-Sokolov hierarchies
• The partition function of degenerate quadratic functional and Ray-Singer invariants
• Quantization and representation theory of finite \(W\) algebras
• Integrable lattice models from gauge theory
• Gauge theory and integrability. I
• Gauge theory and integrability. II
• New integrable models from the gauge/YBE correspondence
• Lax formalism for Gelfand-Tsetlin integrable systems
• Unification of integrability in supersymmetric gauge theories
• Partition function of the eight-vertex lattice model
• Quiver gauge theories and integrable lattice models
• HYPER-KÄHLER METRICS BUILDING AND INTEGRABLE MODELS
• Integrable lattice models from four-dimensional field theories
• Branes and integrable lattice models
• Liouville theory revisited
• Introduction to Classical Integrable Systems
• The Toda lattice. II. Existence of integrals
• Lax formalism for a family of integrable Toda-related n-particle systems
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
• Integrals of nonlinear equations of evolution and solitary waves
• Quantum groups
• Solutions of the classical Yang-Baxter equation for simple Lie algebras