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Spin chain sigma models with fermions

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arxiv hep-th/0410022 v2 pith:EPAWSOUM submitted 2004-10-03 hep-th

Rafael Hernandez , Esperanza Lopez This is my paper · ORCID
classification hep-th
keywords chainsigmaspincompletemodelsalongangularconstruct
verification ladder T0 review T1 audit T2 compute T3 formal

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The complete one-loop planar dilatation operator of N=4 supersymmetric Yang-Mills is isomorphic to the hamiltonian of an integrable PSU(2,2|4) quantum spin chain. We construct the non-linear sigma models describing the continuum limit of the SU(1|3) and SU(2|3) sectors of the complete N=4 chain. We explicitely identify the spin chain sigma model with the one for a superstring moving in AdS_5xS^5 with large angular momentum along the five-sphere.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. An integrable deformed Landau-Lifshitz model with particle production?

    hep-th 2025-06 conditional novelty 6.0 of 10

    The Class 5 spin chain's continuum limit is a non-unitary deformed Landau-Lifshitz model with a conserved-charge tower and a soft 1-to-2 S-matrix.

  2. Spread complexity for the planar limit of holography

    hep-th 2024-12 reject novelty 6.0 of 10

    Spread complexity is generalized to fermionic and supercoherent states, and applied to large-charge rotating strings in AdS5 x S5, yielding Krylov paths that reduce to effective SU(2)/SL(2) coherent-state complexity.

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