Classification of reflection matrices related to (super-)Yangians and application to open spin chain models

DOI10.1016/S0550-3213(03)00503-0zbMath1094.81032arXivmath/0304150MaRDI QIDQ1405888

Anastasia Doikou, Daniel Arnaudon, Nicolas Crampé, Eric Ragoucy, Luc Frappat, Jean Avan

Publication date: 7 September 2003

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

Full work available at URL: https://arxiv.org/abs/math/0304150

zbMATH Keywords

\(R\) matricesbounday conditionsinfinite quantum-group series

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (21)

\(OSp(n|2m)\) quantum chains with free boundaries ⋮ On the classification of rational K-matrices ⋮ Bethe ansatz equations and exact s matrices for the \(\text{Osp}(M|2n)\) open super-spin chain ⋮ On the boundaries of quantum integrability for the spin-1/2 Richardson-Gaudin system ⋮ On integrable boundaries in the 2 dimensional O(N) σ-models ⋮ Reflection matrices withU_q[osp⁽²⁾(2|2m) symmetry] ⋮ \(C_n^{(1)}\), \(D_n^{(1)}\) and \(A_{2n-1}^{(2)}\) reflection \(K\)-matrices ⋮ Nested algebraic Bethe ansatz for orthogonal and symplectic open spin chains ⋮ New boundary monodromy matrices for classical sigma models ⋮ Reflection matrices for theU_q[spo(2n|2m) vertex model] ⋮ Reflection matrices for theU_q[osp(r|2m)⁽¹⁾ vertex model] ⋮ New reflection matrices for theU_q(gl(m|n)) case ⋮ On the \mathcal {U}_{q}[sl(2) Temperley–Lieb reflection matrices] ⋮ Temperley–LiebK-matrices ⋮ Fermionic reflection matrices ⋮ Integrable approach to simple exclusion processes with boundaries. Review and progress ⋮ On the \(\mathcal{{U}}_{q}[osp(1|2)\) Temperley-Lieb model] ⋮ Nonstandard Bethe Ansatz equations for open \(\operatorname{O}(N)\) spin chains ⋮ Gauge theory and boundary integrability ⋮ On , , , , , , and reflectionK-matrices ⋮ On osp(M?2n) Integrable Open Spin Chains

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