Algebraic Bethe ansatz for an integrable \(U_{q}[sl(n| m)]\) vertex model with mixed representations

DOI10.1016/j.nuclphysb.2006.01.002zbMath1109.82010arXivnlin/0512035OpenAlexW1938655262MaRDI QIDQ877397

N. E. Zubov

Publication date: 20 April 2007

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

Full work available at URL: https://arxiv.org/abs/nlin/0512035

zbMATH Keywords

lattice modelsalgebraic Bethe ansatz

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)

Related Items (5)

Exact solution and finite size properties of the \(U_{q}[\text{osp}(2| 2m)\) vertex models] ⋮ Finite size properties of staggered \(U_q[sl(21)\) superspin chains] ⋮ Boundary state of a ${{U}_{q}}\left(\widehat{gl}(N|N)\right)$ analogue of the half-infinitet−Jmodel ⋮ Exact thermodynamics and phase diagram of integrable t-J model with chiral interaction ⋮ Multiplicity in supersymmetric spin chains

Cites Work

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• Continuum limit of the integrable \(sl(2/1)3-\bar 3\) superspin chain
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• Universal L operator and invariants of the quantum supergroup U q (gl(m/n))
• New integrable quantum chains combining different kinds of spins
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• Algebraic Bethe ansatz for the gl(1|2) generalized model: II. the three gradings
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• Solution of the quantum inverse problem
• An integrablesl(2|1) vertex model for the spin quantum Hall critical point
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• Analytical Bethe ansatz for closed and opengl(Script N)-spin chains in any representation
• Drinfeld twists and symmetric Bethe vectors of supersymmetric fermion models
• Nonlinear Integral Equations for Thermodynamics of the \(U_{q}(\widehat{sl(r+1)})\) Perk–Schultz Model
• Lie superalgebras
• Heisenberg spin chains based on \(\text{sl}(2|1)\) symmetry

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