Quantum group symmetry of integrable models on the half-line

TY - JOUR

T1 - Quantum group symmetry of integrable models on the half-line

AU - Delius, Gustav W.

AU - George, Alan

PY - 2002/1/1

Y1 - 2002/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=26244435285&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:26244435285

SN - 1824-8039

VL - 8

JO - Proceedings of Science

JF - Proceedings of Science

T2 - 2002 Workshop on Integrable Theories, Solitons and Duality, UNESP 2002

Y2 - 1 July 2002 through 6 July 2002

ER -