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High Energy Physics - Theory

arXiv:1805.03927 (hep-th)
[Submitted on 10 May 2018 (v1), last revised 1 Oct 2018 (this version, v2)]

Title:New Compact Construction of Eigenstates for Supersymmetric Spin Chains

Authors:Nikolay Gromov, Fedor Levkovich-Maslyuk
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Abstract:The problem of separation of variables (SoV) in supersymmetric spin chains is closely related to the calculation of correlation functions in N=4 SYM theory which is integrable in the planar limit. To address this question we find a compact formula for the spin chain eigenstates, which does not have any sums over auxiliary roots one usually gets in the widely adopted nested Bethe ansatz. Our construction only involves one application of a simple Bg(u_k) operator to the reference state for each of the magnons, in complete analogy with the su(2) algebraic Bethe ansatz. This generalizes our SoV based construction for su(n) to the supersymmetric su(1|2) case.
Comments: 24 pages; v2: minor changes, published version
Subjects: High Energy Physics - Theory (hep-th); Strongly Correlated Electrons (cond-mat.str-el); Mathematical Physics (math-ph); Quantum Algebra (math.QA); Exactly Solvable and Integrable Systems (nlin.SI)
Cite as: arXiv:1805.03927 [hep-th]
  (or arXiv:1805.03927v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1805.03927
Journal reference: JHEP 1809 (2018) 085
Related DOI: https://doi.org/10.1007/JHEP09%282018%29085

Submission history

From: Fedor Levkovich-Maslyuk [view email]
[v1] Thu, 10 May 2018 11:22:45 UTC (28 KB)
[v2] Mon, 1 Oct 2018 17:23:14 UTC (28 KB)
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