Integrable coupled sigma-models

Understand

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.