The integrable quantum group invariant \(A_{2 n - 1}^{(2)}\) and \(D_{n + 1}^{(2)}\) open spin chains

DOI10.1016/j.nuclphysb.2017.09.004zbMath1373.82024arXiv1707.09260OpenAlexW2741053308WikidataQ58202870 ScholiaQ58202870MaRDI QIDQ1676155

Rafael I. Nepomechie, Ana L. Retore, Rodrigo A. Pimenta

Publication date: 3 November 2017

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

Full work available at URL: https://arxiv.org/abs/1707.09260

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) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Related Items (13)

Surveying the quantum group symmetries of integrable open spin chains ⋮ The \(D_3^{(2)}\) spin chain and its finite-size spectrum ⋮ LieART 2.0 -- a Mathematica application for Lie algebras and representation theory ⋮ Exact solution of the \(q\)-deformed \(D_3^{(1)}\) vertex model with open boundaries ⋮ Spectrum of the transfer matrices of the spin chains associated with the \(A^{(2)}_3\) Lie algebra ⋮ The spectrum of quantum-group-invariant transfer matrices ⋮ Factorization identities and algebraic Bethe ansatz for \({D}_2^{(2)}\) models ⋮ New $D_{n+1}^{(2)}$ K-matrices with quantum group symmetry ⋮ Exact solution of the quantum integrable model associated with the twisted \(D_3^{(2)}\) algebra ⋮ Spectrum of the quantum integrable \(D_2^{(2)}\) spin chain with generic boundary fields ⋮ Q-systems with boundary parameters ⋮ Towards the solution of an integrable $D_{2}^{(2)}$ spin chain ⋮ Integrable boundary conditions for staggered vertex models

Uses Software

• LieART

Cites Work

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