Analytical Bethe ansatz in \(\text{gl}(N)\) spin chains

DOI10.1007/s10582-006-0075-9zbMath1115.82004arXivmath-ph/0510018OpenAlexW1977948977MaRDI QIDQ2497068

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

Publication date: 27 July 2006

Published in: Czechoslovak Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0510018

zbMATH Keywords

integrable modelsanalytical Bethe ansatzclosed and open spin chains

Mathematics Subject Classification ID

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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Algebraic Bethe ansatz for the \(s\ell(2)\) Gaudin model with boundary

Cites Work

• Factorizing particles on a half-line and root systems
• Quantum spin chain with `soliton non-preserving' boundary conditions
• Spontaneous symmetry breaking in thegl(N)-NLS hierarchy on the half line
• Diagonalisation of GL(N) invariant transfer matrices and quantum N-wave system (Lee model)
• Yangians and classical Lie algebras
• REPRESENTATIONS OF REFLECTION ALGEBRAS
• Finite-dimensional irreducible representations of twisted Yangians