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Introduction to Yangian symmetry in integrable field theory

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arxiv hep-th/0409183 v4 pith:D6PH57B5 submitted 2004-09-17 hep-th

N. J. Mackay This is my paper · ORCID
classification hep-th
keywords symmetryfieldintegrabletheoryyangianboundarybulkeffect
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Three introductory lectures: on Yangians and their representations; on Yangian symmetry in 1+1D integrable (bulk) field theory; and on the effect of a boundary upon this symmetry.

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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. Ultralocal Lax connection for para-complex $\mathbb{Z}_T$-cosets

    hep-th 2019-09 conditional novelty 7.0 of 10

    Classical sigma-models on para-complex Z_T-cosets admit an ultralocal, gauge-invariant Lax connection whose light-cone components Poisson-commute, extending earlier results for hermitian symmetric spaces.

  2. 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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