Affine q-deformed symmetry and the classical Yang-Baxter σ-model

@article{Delduc2017AffineQS,
  title={Affine q-deformed symmetry and the classical Yang-Baxter $\sigma$-model},
  author={F. Delduc and T. Kameyama and M. Magro and B. Vicedo},
  journal={Journal of High Energy Physics},
  year={2017},
  volume={2017},
  pages={1-19}
}
  • F. DelducT. Kameyama B. Vicedo
  • Published 13 January 2017
  • Mathematics
  • Journal of High Energy Physics
A bstractThe Yang-Baxter σ-model is an integrable deformation of the principal chiral model on a Lie group G. The deformation breaks the G × G symmetry to U(1)rank(G) × G. It is known that there exist non-local conserved charges which, together with the unbroken U(1)rank(G) local charges, form a Poisson algebra , which is the semiclassical limit of the quantum group Uqg$$ {U}_q\left(\mathfrak{g}\right) $$, with g$$ \mathfrak{g} $$ the Lie algebra of G. For a general Lie group G with rank(G) > 1… 

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