aqora

Bn(1) and A2n(2) reflection K-matrices

A. Lima-Santos

arXiv:nlin/0210046Nuclear Physics BMar 1, 200314 citations

Reflection K matrices associated with an Onsager coideal of U p ( A n − 1 ( 1 ) ) , U p ( B n ( 1 ) ) , U p ( D n ( 1 ) ) and U p ( D n + 1 ( 2 ) )

Atsuo Kuniba, Masato Okado, Akihito Yoneyama

Abstract We determine the intertwiners of a family of Onsager coideal subalgebras of the quantum affine algebra in the fundamental representations and in the spin representations. They reproduce the reflection K matrices obtained recently by the matrix product construction connected to the three dimensional integrability. In particular the present approach provides the first proof of the reflection equation for the non type A cases.

arXiv:1904.05653Journal of Physics A Mathematical and TheoreticalJul 30, 20194 citations

One-Parameter Matrix Representation of spl(2,1) Superalgebra

Yongqing Chen, Bolin Yu

International Journal of Theoretical PhysicsApr 19, 20120 citations

Twisted Yangian symmetry of the open Hubbard model

Alejandro De La Rosa Gomez, Niall J MacKay

We show that, in the open Hubbard model with integrable boundary conditions, the bulk Yangian symmetry is broken to a twisted Yangian. We prove that the associated charges commute with the Hamiltonian and the reflection matrix, and that they form a coideal subalgebra.

arXiv:1404.2095Journal of Physics A Mathematical and TheoreticalJul 10, 20145 citations

Quantum group symmetry of integrable models on the half-line

Gustav W. Delius, Alan George

We derive the non-local conserved charges in the sine-Gordon model and affine Toda field theories on the half-line.They generate new kinds of symmetry algebras that are coideals of the usual quantum groups.We show how intertwiners of tensor product representations of these algebras lead to solutions of the reflection equation.We describe how this method for finding solutions to the reflection equation parallels the previously know method of using intertwiners of quantum groups to find solutions to the Yang-Baxter equation. * Speaker.1 Earlier calculations for the sine-Gordon model at the free fermion point were done in [16]We derive the non-local conserved charges in the sine-Gordon model and affine Toda field theories on the half-line.They generate new kinds of symmetry algebras that are coideals of the usual quantum groups.We show how intertwiners of tensor product representations of these algebras lead to solutions of the reflection equation.We describe how this method for finding solutions to the reflection equation parallels the previously know method of using intertwiners of quantum groups to find solutions to the Yang-Baxter equation. * Speaker.1 Earlier calculations for the sine-Gordon model at the free fermion point were done in [16]

arXiv:hep-th/0212300Workshop on Integrable Theories, Solitons and DualityDec 1, 20025 citations

Reflection k-matrices related to Temperley-Lieb R-matrices

Jean Avan, P. P. Kulish, G. Rollet

arXiv:1012.3012Theoretical and Mathematical PhysicsNov 1, 201118 citations

Matrix product solution to the reflection equation associated with a coideal subalgebra of $$\varvec{U_q(A^{(1)}_{n-1})}$$ U q ( A n - 1 ( 1 ) )

Related papers

Matrix product solution to the reflection equation associated with a coideal subalgebra of $$\varvec{U_q(A^{(1)}_{n-1})}$$ U q ( A n - 1 ( 1 ) )

Related papers