# 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. Delduc 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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Yang–Baxter type models are integrable deformations of integrable field theories, such as the principal chiral model on a Lie group G or σ-models on (semi-)symmetric spaces G/F. The deformation has
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