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arXiv · 1811.12316

Integrable coupled sigma-models

Francois Delduc·Sylvain Lacroix·Marc Magro·Benoit Vicedo
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Abstract

A systematic procedure for constructing classical integrable field theories with arbitrarily many free parameters is outlined. It is based on the recent interpretation of integrable field theories as realisations of affine Gaudin models. In this language, one can associate integrable field theories with affine Gaudin models having arbitrarily many sites. We present the result of applying this general procedure to couple together an arbitrary number of principal chiral model fields on the same Lie group, each with a Wess-Zumino term.

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Francois Delduc, Sylvain Lacroix, Marc Magro, Benoit Vicedo. 2019-01-07. Integrable coupled sigma-models. https://doi.org/10.1103/physrevlett.122.041601

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