Asymptotic representations of augmented q-Onsager algebra and boundary K-operators related to Baxter Q-operators
arXiv:1707.04574 · doi:10.1016/j.nuclphysb.2018.02.017
Abstract
We consider intertwining relations of the augmented $q$-Onsager algebra introduced by Ito and Terwilliger, and obtain generic (diagonal) boundary $K$-operators in terms of the Cartan element of $U_{q}(sl_2)$. These $K$-operators solve reflection equations. Taking appropriate limits of these $K$-operators in Verma modules, we derive $K$-operators for Baxter Q-operators and corresponding reflection equations.
45 pages, v2: universal T- and Q-operators added