Reflection matrices for theUq[osp(r|2m)(1)] vertex model

DOI10.1088/1742-5468/2009/07/P07045zbMath1456.82290arXiv0809.0421MaRDI QIDQ3301091

A. Lima-Santos

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.0421

zbMATH Keywords

solvable lattice modelsintegrable spin chains (vertex models)algebraic structures of integrable modelssymmetries of integrable models

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Solving and classifying the solutions of the Yang-Baxter equation through a differential approach. Two-state systems, Reflection \(K\)-matrices for a nineteen vertex model with \(U_q [\operatorname{osp}(2 | 2)^{(2)}\) symmetry], \(U_q[osp(3|2)\) quantum chains with quantum group invariant boundaries], Reflection matrices withU_q[osp⁽²⁾(2|2m) symmetry], On the \mathcal {U}_{q}[sl(2) Temperley–Lieb reflection matrices], Temperley–LiebK-matrices, Boundary algebraic Bethe Ansatz for a nineteen vertex model withU_q  [osp(2|2)⁽²⁾ symmetry], On the \(\mathcal{{U}}_{q}[osp(1|2)\) Temperley-Lieb model], A boundary matrix for AdS/CFTSU(1|1) spin chain

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