# 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} }

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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