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arxiv: 1412.7511 · v2 · pith:AQA5GDLRnew · submitted 2014-12-23 · 🧮 math-ph · cond-mat.stat-mech· hep-th· math.MP· nlin.SI

Modified algebraic Bethe ansatz for XXZ chain on the segment - II - general cases

Samuel Belliard , Rodrigo A. Pimenta This is my paper
classification 🧮 math-ph cond-mat.stat-mechhep-thmath.MPnlin.SI
keywords bethechainalgebraicansatzgeneralmodifiedsegmentadditional
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The spectral problem of the Heisenberg XXZ spin-$\frac{1}{2}$ chain on the segment is investigated within a modified algebraic Bethe ansatz framework. We consider in this work the most general boundaries allowed by integrability. The eigenvalues and the eigenvectors are obtained. They are characterised by a set of Bethe roots with cardinality equal to $N$, the length of the chain, and which satisfies a set of Bethe equations with an additional term.

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  1. Universal TT- and TQ-relations via centrally extended q-Onsager algebra

    math.QA 2025-11 unverdicted novelty 6.0

    Universal TT- and TQ-relations are derived for the centrally extended q-Onsager algebra, giving explicit polynomials for local conserved quantities in spin-j chains and new symmetries for special boundaries.