Minuscule ABCDE Lax operators from 4D Chern-Simons theory

DOI10.1016/j.nuclphysb.2022.115859zbMath1500.82002arXiv2207.14777OpenAlexW4281741788MaRDI QIDQ2155267

Youssra Boujakhrout, El Hassan Saidi

Publication date: 15 July 2022

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.14777

zbMATH Keywords

Chern-Simons theoryLax operators

Mathematics Subject Classification ID

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) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Lie algebras of Lie groups (22E60)

Related Items (4)

Lattice Chern-Simons model for FQHE ⋮ From orthosymplectic structure to super topological matter ⋮ Embedding integrable superspin chain in string theory ⋮ Lax operator and superspin chains from 4D CS gauge theory

Cites Work

• Baxter's Q-operators and operatorial Bäcklund flow for quantum (super)-spin chains
• Quantization of integrable systems and a \(2d/4d\) duality
• Baxter Q-operators and representations of Yangians
• 4D Chern-Simons theory and affine Gaudin models
• Computing the scalar field couplings in 6D supergravity
• Integrable structure of conformal field theory. III: The Yang-Baxter relation
• Mirror symmetry and exact solution of \(4D\) \(N=2\) gauge theories. I
• On Baxter's \(Q\)-operator for the \(XXX\) spin chain
• Integrable lattice models from gauge theory
• Quivers, words and fundamentals
• Mutation symmetries in BPS quiver theories: building the BPS spectra
• Gauge theory and integrability. I
• Gauge theory and integrability. II
• Yang-Baxter deformations of the \(\mathrm{AdS}_5 \times S^5\) supercoset sigma model from 4D Chern-Simons theory
• Wilson-'t Hooft lines as transfer matrices
• Branes and categorifying integrable lattice models
• Unification of integrability in supersymmetric gauge theories
• Lax matrices from antidominantly shifted Yangians and quantum affine algebras: A-type
• Rational Lax matrices from antidominantly shifted extended Yangians: BCD types
• On exceptional 't Hooft lines in 4D-Chern-Simons theory
• Oscillator realisations associated to the \(D\)-type Yangian: towards the operatorial Q-system of orthogonal spin chains
• On Minuscule Representations and the Principal SL₂
• Quantum line operators from Lax pairs
• Twisted 3D $\mathcal {N}=4$N=4 supersymmetric YM on deformed $\mathbb {A}_{3}^{\ast }$A3* lattice

This page was built for publication: Minuscule ABCDE Lax operators from 4D Chern-Simons theory