Abstract
In this note, we study the eigenvectors and the scalar products the integrable long-range deformation of the XXX spin chain defined in [1]. The model is solved exactly by algebraic Bethe ansatz, and it coincides in the bulk with the Inozemtsev spin chain. At the closing point it contains a defect which effectively removes the wrapping interactions. Here we concentrate on determining the defect term for the first non-trivial order in perturbation in the deformation parameter and how it affects the Bethe ansatz equations. Our study is motivated by the relation with the dilatation operator of the \( \mathcal{N} \) = 4 gauge theory in the su(2) sector.
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ArXiv ePrint: 1302.3350
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Serban, D. Eigenvectors and scalar products for long range interacting spin chains II: the finite size effects. J. High Energ. Phys. 2013, 128 (2013). https://doi.org/10.1007/JHEP08(2013)128
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DOI: https://doi.org/10.1007/JHEP08(2013)128