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Spin Models and Superconformal Yang-Mills Theory

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arxiv hep-th/0411020 v1 pith:AT6DXBOQ submitted 2004-11-01 hep-th math.QA

classification hep-thmath.QA
keywords theoryfirsthigher-loopspinsuperconformalyang-millsyangianabelian
verification ladder T0 review T1 audit T2 compute T3 formal
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We apply novel techniques in planar superconformal Yang-Mills theory which stress the role of the Yangian algebra. We compute the first two Casimirs of the Yangian, which are identified with the first two local abelian Hamiltonians with periodic boundary conditions, and show that they annihilate the chiral primary states. We streamline the derivation of the R-matrix in a conventional spin model, and extend this computation to the gauge theory. We comment on higher-loop corrections and higher-loop integrability.

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Cited by 1 Pith paper

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

  1. The classical Yangian symmetry of Auxiliary Field Sigma Models

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    Generalizes the BIZZ recursive procedure and provides sufficient conditions under which auxiliary field deformations of integrable sigma models retain classical Yangian symmetry and Maillet bracket structure.

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