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arXiv · 2501.08777

Integrable deformations of principal chiral model from solutions of associative Yang-Baxter equation

D. Domanevsky·A. Levin·M. Olshanetsky·A. Zotov
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Abstract

We describe deformations of the classical principle chiral model and 1+1 Gaudin model related to ${\rm GL}_N$ Lie group. The deformations are generated by $R$-matrices satisfying the associative Yang-Baxter equation. Using the coefficients of the expansion for these $R$-matrices we derive equations of motion based on a certain ansatz for $U$-$V$ pair satisfying the Zakharov-Shabat equation. Another deformation comes from the twist function, which we identify with the cocentral charge in the affine Higgs bundle underlying the Hitchin approach to 2d integrable models.

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D. Domanevsky, A. Levin, M. Olshanetsky, A. Zotov. 2025-01-15. Integrable deformations of principal chiral model from solutions of associative Yang-Baxter equation. https://doi.org/10.4213/im9717e

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