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RG flows of integrable $\sigma$-models and the twist function

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arxiv 2010.07879 v2 pith:QXSQOT6Z submitted 2020-10-15 hep-th math-phmath.MPnlin.SI

François Delduc , Sylvain Lacroix , Konstantinos Sfetsos , Konstantinos Siampos This is my paper · ORCID
classification hep-thmath-phmath.MPnlin.SI
keywords functionmodelstwistintegrablesigmaappearsassembliescalled
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abstract

In the study of integrable non-linear $\sigma$-models which are assemblies and/or deformations of principal chiral models and/or WZW models, a rational function called the twist function plays a central role. For a large class of such models, we show that they are one-loop renormalizable, and that the renormalization group flow equations can be written directly in terms of the twist function in a remarkably simple way. The resulting equation appears to have a universal character when the integrable model is characterized by a twist function.

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Cited by 2 Pith papers

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

  1. 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.

  2. On the Integrable Structure of the SU(2) Wess-Zumino-Novikov-Witten Model

    hep-th 2026-01 conditional novelty 7.0 of 10

    A new family of commuting local conserved charges in the SU(2) WZNW model is constructed for the first four spins and shown to agree with Bethe-ansatz and ODE/quantum-field-theory predictions.

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