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Eigenvectors and scalar products for long range interacting spin chains II: the finite size effects

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arxiv 1302.3350 v2 pith:D5XLFNSZ submitted 2013-02-14 hep-th

classification hep-th
keywords spinansatzbethechaindefectdeformationeigenvectorsproducts
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In this note, we study the eigenvectors and the scalar products the integrable long-range deformation of a XXX spin chain which 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 N = 4 gauge theory in the su(2) sector.

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  1. Long-range to the Rescue of Yang-Baxter II

    hep-th 2025-07 conditional novelty 6.0 of 10

    A long-range Bethe ansatz produces four-magnon eigenstates, recursively built from three-magnon data, for the one-loop spin chain of a marginally deformed Z2 orbifold of N=4 SYM.

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