English

Integrable coupled sigma-models

High Energy Physics - Theory 2019-01-29 v2

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.

Keywords

Cite

@article{arxiv.1811.12316,
  title  = {Integrable coupled sigma-models},
  author = {Francois Delduc and Sylvain Lacroix and Marc Magro and Benoit Vicedo},
  journal= {arXiv preprint arXiv:1811.12316},
  year   = {2019}
}

Comments

5 pages, examples added

R2 v1 2026-06-23T06:25:34.929Z