Generic triangular solutions of the reflection equation: ${U}_{q}\left(\hat{s{l}_{2}}\right)$ case

DOI10.1088/1751-8121/ab8853OpenAlexW3103857225MaRDI QIDQ5059672

Zengo Tsuboi

Publication date: 16 January 2023

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

Full work available at URL: https://arxiv.org/abs/1912.12808

zbMATH Keywords

reflection equation\(K\)-operator\(L\)-operatortriangular \(q\)-Onsager algebra

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (3)

Universal Baxter TQ-relations for open boundary quantum integrable systems ⋮ The alternating presentation of \(U_q(\widehat{gl_2})\) from Freidel-Maillet algebras ⋮ Integrable boundaries for the q-Hahn process

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Q-operators for the open Heisenberg spin chain
• Non-abelian symmetries of the half-infinite XXZ spin chain
• Deformed Dolan-Grady relations in quantum integrable models
• Factorizing particles on a half-line and root systems
• Universal \(R\)-matrix for quantized (super)algebras
• The uniqueness theorem for the universal \(R\)-matrix
• Asymptotic representations of augmented \(q\)-Onsager algebra and boundary \(K\)-operators related to Baxter Q-operators
• Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line
• Non-compact quantum spin chains as integrable stochastic particle processes
• Boundary matrices for the higher spin six vertex model
• Matrix product solution to the reflection equation associated with a coideal subalgebra of \(U_q(A^{(1)}_{n-1})\)
• TWO RELATIONS THAT GENERALIZE THE Q-SERRE RELATIONS AND THE DOLAN-GRADY RELATIONS
• BOUNDARY S MATRIX AND BOUNDARY STATE IN TWO-DIMENSIONAL INTEGRABLE QUANTUM FIELD THEORY
• Exercises with the universalR-matrix
• Integrable open spin chains with nonsymmetric R-matrices
• Solutions of the $ \newcommand{\mfsl}{\mf{sl}} \newcommand{\mf}{\mathfrak} \newcommand{\wh}{\widehat} {U_q(\wh\mfsl_N)}$ reflection equations
• Boundary conditions for integrable quantum systems
• Boundary K-matrices for the XYZ, XXZ and XXX spin chains
• On diagonal solutions of the reflection equation
• COIDEAL SUBALGEBRAS IN QUANTUM AFFINE ALGEBRAS

This page was built for publication: Generic triangular solutions of the reflection equation: ${U}_{q}\left(\hat{s{l}_{2}}\right)$ case