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arxiv: 1308.1584 · v2 · pith:32DIEGW6new · submitted 2013-08-07 · 🧮 math-ph · cond-mat.stat-mech· hep-th· math.MP

Integrable Deformations of the XXZ Spin Chain

Niklas Beisert , Lucas Fievet , Marius de Leeuw , Florian Loebbert This is my paper
classification 🧮 math-ph cond-mat.stat-mechhep-thmath.MP
keywords deformationschainintegrablelong-rangespintwistadditionalboundary
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We consider integrable deformations of the XXZ spin chain for periodic and open boundary conditions. In particular, we classify all long-range deformations and study their impact on the spectrum. As compared to the XXX case, we have the z-spin at our disposal, which induces two additional deformations: the short-range magnetic twist and a new long-range momentum-dependent twist.

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  1. The quantum group structure of long-range integrable deformations

    math-ph 2026-04 unverdicted novelty 7.0

    Long-range deformations of arbitrary homogeneous Yang-Baxter integrable spin chains are realized as twists of the quantum group, with the Drinfeld associator encoding the long-range interaction terms up to first order...