Quantum group symmetry of integrable models on the half-line

Gustav Walter Delius, Alan George
2002 Proceedings of Workshop on Integrable Theories, Solitons and Duality — PoS(unesp2002)   unpublished
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
more » ... ns to the Yang-Baxter equation. * Speaker. 1 Earlier calculations for the sine-Gordon model at the free fermion point were done in [16] PrHEP unesp2002 Workshop on Integrable Theories, Solitons and Duality Gustav W Delius
doi:10.22323/1.008.0042 fatcat:i2kd7jzleve2tkjhq3uidiwzry