Completeness of good Bethe ansatz solutions of a quantum-group-invariant Heisenberg model

DOI10.1016/0550-3213(94)90162-7zbMath1020.82556arXivhep-th/9406183OpenAlexW2128517368MaRDI QIDQ1571360

G. Jüttner, Michael Karowski

Publication date: 10 July 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9406183

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23)

Related Items

Fusion hierarchy and finite-size corrections of \(U_q[sl(2)\)-invariant vertex models with open boundaries], Connections of the Liouville model and \(XXZ\) spin chain, Counting solutions of the Bethe equations of the quantum group invariant open XXZ chain at roots of unity, On zero-remainder conditions in the Bethe ansatz, Irreversibility of the renormalization group flow in non-unitary quantum field theory, Properties of eigenstates of the six-vertex model with twisted and open boundary conditions, Closed \(\text{SU}(2)_q\) invariant spin chain, Entanglement entropy of non-unitary integrable quantum field theory, Completeness of good Bethe ansatz solutions of a quantum-group-invariant Heisenberg model, Numerical algorithm for the calculation of the ground states in the \(U_qSU(2)\) symmetric spin-\(\tfrac 12\) Heisenberg chain

Cites Work

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• Hidden quantum group symmetry and integrable perturbations of conformal field theories
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
• Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
• Completeness of good Bethe ansatz solutions of a quantum-group-invariant Heisenberg model
• The supersymmetric \(t\)-\(J\) model with quantum group invariance.
• Quantum-group-invariant integrable \(n\)-state vertex models with periodic boundary conditions
• Invariants of 3-manifolds via link polynomials and quantum groups
• Integrable quantum chain and the representation of the quantum group SU_q(2)
• A TEMPLATE FOR QUANTUM SPIN CHAIN SPECTRA
• Boundary conditions for integrable quantum systems
• Completeness of Bethe's states for the generalizedXXZmodel
• Highest-weight U_q(sl(n)) modules and invariant integrable n-state models with periodic boundary conditions