Integrable coupled sigma-models

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.

5 pages, examples added

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Cited by in corpus (33)

• Gauge Theory and Integrability, II
• A unifying 2d action for integrable $\sigma$-models from 4d Chern-Simons theory
• Assembling integrable sigma-models as affine Gaudin models
• The Chern-Simons Origin of Superstring Integrability
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• 't Hooft lines of ADE-type and Topological Quivers
• Strong integrability of $\lambda$-deformed models
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• Classical Yang-Baxter equation, Lagrangian multiforms and ultralocal integrable hierarchies
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