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On generalized \(Q\)-systems. (English) Zbl 1435.81142

Summary: We formulate \(Q\)-systems for the closed XXZ, open XXX and open quantum-group-invariant XXZ quantum spin chains. Polynomial solutions of these \(Q\)-systems can be found efficiently, which in turn lead directly to the admissible solutions of the corresponding Bethe ansatz equations.

MSC:

81T25 Quantum field theory on lattices
81R12 Groups and algebras in quantum theory and relations with integrable systems
81R50 Quantum groups and related algebraic methods applied to problems in quantum theory
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