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Integrable coupled sigma-models

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arxiv 1811.12316 v2 pith:VQXRACXO submitted 2018-11-29 hep-th

Francois Delduc , Sylvain Lacroix , Marc Magro , Benoit Vicedo This is my paper · ORCID
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keywords integrablefieldtheoriesaffinearbitrarilygaudinmanymodels
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Gauge Theory And Integrability, III

    hep-th 2019-08 accept novelty 8.0 of 10

    A four-dimensional Chern-Simons gauge theory with surface defects systematically engineers two-dimensional integrable field theories with Lax operators.

  2. Time-Dependent Integrability from Gauge Theory, I

    hep-th 2026-07 accept novelty 7.5 of 10

    Spacetime-dependent 4d Chern-Simons theory generates time-dependent integrable field theories whose allowed time dependence coincides with one-loop RG flow while preserving Lax integrability.

  3. Twists of trigonometric sigma models

    hep-th 2025-04 accept novelty 7.0 of 10

    A new class of Z_N-twisted integrable sigma models is constructed from 4d Chern-Simons theory, and Z2 twisting by an outer automorphism of SU(n) produces models inequivalent to the untwisted ones.

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