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A Relation Between Approaches to Integrability in Superconformal Yang-Mills Theory

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arxiv hep-th/0308089 v3 pith:CCG7X36O submitted 2003-08-13 hep-th

classification hep-th
keywords theoryinfinite-dimensionallimitnon-abeliansuperconformalsymmetryads5xs5algebra
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We make contact between the infinite-dimensional non-local symmetry of the typeIIB superstring on AdS5xS5 worldsheet theory and a non-abelian infinite-dimensional symmetry algebra for the weakly coupled superconformal gauge theory. We explain why the planar limit of the one-loop dilatation operator is the Hamiltonian of a spin chain, and show that it commutes with the g*2 N = 0 limit of the non-abelian charges.

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  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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