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arxiv: 1104.2474 · v2 · pith:DZJZCCP6new · submitted 2011-04-13 · ✦ hep-th

Yangians, S-matrices and AdS/CFT

classification ✦ hep-th
keywords yangiansaccountanthologyattemptsauthorbasicbehindchance
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This review is meant to be an account of the properties of the infinite-dimensional quantum group (specifically, Yangian) symmetry lying behind the integrability of the AdS/CFT spectral problem. In passing, the chance is taken to give a concise anthology of basic facts concerning Yangians and integrable systems, and to store a series of remarks, observations and proofs the author has collected in a five-year span of research on the subject. We hope this exercise will be useful for future attempts to study Yangians in field and string theories, with or without supersymmetry.

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  1. The classical Yangian symmetry of Auxiliary Field Sigma Models

    hep-th 2026-05 unverdicted novelty 6.0

    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.