Generalized \(q\)-Onsager algebras and boundary affine Toda field theories
type: Item
instance of: scholarly article
title: Generalized \(q\)-Onsager algebras and boundary affine Toda field theories
zbMATH Open document ID: 1197.81147
author: P. Baseilhac
author: S. Belliard
published in: Letters in Mathematical Physics
publication date: 2010-10-08T00:00:00Z
full work available at URL: https://arxiv.org/abs/0906.1215
Mathematics Subject Classification ID: 17B80
Mathematics Subject Classification ID: 33D80
Mathematics Subject Classification ID: 81R12
Mathematics Subject Classification ID: 81R50
zbMATH DE Number: 5797558
zbMATH Keywords: \(q\)-Onsager algebra
zbMATH Keywords: quantum group symmetry
zbMATH Keywords: boundary affine Toda field theory
MaRDI profile type: Publication
OpenAlex ID: W2964045870
arXiv ID: 0906.1215
cites work: Reflection amplitudes of boundary Toda theories and thermodynamic Bethe ansatz
cites work: A family of tridiagonal pairs related to the quantum affine algebra U_q(sl_2)
cites work: Boundary Lax pairs for the \(A_n^{(1)}\) Toda field theories
cites work: Deformed Dolan-Grady relations in quantum integrable models
cites work: An integrable structure related with tridiagonal algebras
cites work: A family of tridiagonal pairs and related symmetric functions
cites work: Coupling integrable field theories to mechanical systems at the boundary.
cites work: A new (in)finite-dimensional algebra for quantum integrable models
cites work: Sine-Gordon quantum field theory on the half-line with quantum boundary degrees of freedom
cites work: A new current algebra and the reflection equation
cites work: Integrable structure of \(W_3\) conformal field theory, quantum Boussinesq theory and boundary affine Toda theory
cites work: Quantum group symmetries and non-local currents in 2D QFT
cites work: Classically integrable boundary conditions for affine Toda field theories
cites work: Q4846800
cites work: The structure of quotients of the Onsager algebra by closed ideals *
cites work: The algebraic structure of the Onsager algebra
cites work: Onsager's algebra and superintegrability
cites work: Onsager’s algebra and the Dolan–Grady condition in the non-self-dual case
cites work: Quantum affine reflection algebras of type \(d_n^{(1)}\) and reflection matrices
cites work: Particle reflection amplitudes in \(a^{(1)}_n\) Toda field theories
cites work: Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line
cites work: From affine Hecke algebras to boundary symmetries
cites work: Boundary one-point functions, scattering theory and vacuum solutions in integrable systems
cites work: Boundary bound states in affine Toda field theory
cites work: Affine Toda field theory in the presence of reflecting boundaries
cites work: On \(a^{(1)}_2\) reflection matrices and affine Toda theories
cites work: Q4939921
cites work: Bound state boundary \(S\) matrix of the sine-Gordon model
cites work: Boundary \(S\) matrix and boundary state in two-dimensional integrable quantum field theory
cites work: The \(q\)-version of a theorem of Bochner
cites work: Tridiagonal pairs and the quantum affine algebra \(U_q(\widehat{\text{sl}}_2)\).
cites work: Tridiagonal pairs of \(q\)-Racah type
cites work: Some algebra related to \(P\)- and \(Q\)-polynomial association schemes
cites work: A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
cites work: A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
cites work: Infinite dimensional Lie algebras. An introduction
cites work: Nonstandard quantization of the enveloping algebra \(U(\text{so}(n))\) and its applications
cites work: Q3153377
cites work: FRACTIONAL-SPIN INTEGRALS OF MOTION FOR THE BOUNDARY SINE–GORDON MODEL AT THE FREE FERMION POINT
cites work: COIDEAL SUBALGEBRAS IN QUANTUM AFFINE ALGEBRAS
cites work: Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
cites work: Q3485721
cites work: Classical versus quantum symmetries for Toda theories with a nontrivial boundary perturbation
cites work: Boundary conditions for integrable quantum systems
cites work: The subconstituent algebra of an association scheme. III
cites work: Two relations that generalize the \(q\)-Serre relations and the Dolan-Grady relations.
cites work: Two linear transformations each tridiagonal with respect to an eigenbasis of the other
cites work: \(\text{sl}(N)\) Onsager's algebra and integrability.
cites work: Q3363704
DOI: 10.1007/S11005-010-0412-6
description: scientific article