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arxiv: 0805.3260 · v1 · pith:TEIJGB5Snew · submitted 2008-05-21 · ✦ hep-th

Open Perturbatively Long-Range Integrable gl(N) Spin Chains

classification ✦ hep-th
keywords integrablelong-rangeopenperturbativelyspinadditionboundarybulk
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We construct the most general perturbatively long-range integrable spin chain with spins transforming in the fundamental representation of gl(N) and open boundary conditions. In addition to the previously determined bulk moduli we find a new set of parameters determining the reflection phase shift. We also consider finite-size contributions and comment on their determination.

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    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...