Asymptotic representations of augmented q -Onsager algebra and boundary K -operators related to Baxter Q-operators

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.
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Pascal Baseilhac, Zengo Tsuboi. Asymptotic representations of augmented q -Onsager algebra and boundary K -operators related to Baxter Q-operators. Nuclear Physics B, Elsevier, 2018, 929 (April), pp.397-437. ⟨10.1016/j.nuclphysb.2018.02.017⟩. ⟨hal-02154089⟩

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