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

DOI10.1016/j.nuclphysb.2018.02.017zbMath1382.81112arXiv1707.04574OpenAlexW2734477452MaRDI QIDQ1705636

Zengo Tsuboi, Pascal Baseilhac

Publication date: 16 March 2018

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.04574

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Groups and algebras in quantum theory and relations with integrable systems (81R12) Yang-Baxter equations (16T25)

Related Items (12)

On diagonal solutions of the reflection equation ⋮ Generic triangular solutions of the reflection equation: ${U}_{q}\left(\hat{s{l}_{2}}\right)$ case ⋮ A Q-operator for open spin chains I. Baxter’s TQ relation ⋮ A note on \(q\)-oscillator realizations of \(U_q(gl(M|N))\) for Baxter \(Q\)-operators ⋮ Universal K-matrices for quantum Kac-Moody algebras ⋮ Non-compact quantum spin chains as integrable stochastic particle processes ⋮ Oscillator realisations associated to the \(D\)-type Yangian: towards the operatorial Q-system of orthogonal spin chains ⋮ Universal Baxter TQ-relations for open boundary quantum integrable systems ⋮ A conjecture concerning the \(q\)-Onsager algebra ⋮ The alternating presentation of \(U_q(\widehat{gl_2})\) from Freidel-Maillet algebras ⋮ Q-systems with boundary parameters ⋮ Algebraic Bethe ansatz for Q-operators of the open XXX Heisenberg chain with arbitrary spin

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