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Comments on $\eta$-deformed principal chiral model from 4D Chern-Simons theory

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arxiv 2003.07309 v3 pith:QNN43RDC submitted 2020-03-16 hep-th

Osamu Fukushima , Jun-ichi Sakamoto , Kentaroh Yoshida This is my paper · ORCID
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keywords deformedtheoryboundarychern-simonschiraldescriptionfunctionmodel
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abstract

We study $\eta$-deformations of principal chiral model (PCM) from the viewpoint of a 4D Chern-Simons (CS) theory. The $\eta$-deformed PCM has originally been derived from the 4D CS theory by Delduc, Lacroix, Magro and Vicedo [arXiv:1909.13824]. The derivation is based on a twist function in the rational description. On the other hand, we start with a twist function in the trigonometric description and discuss possible boundary conditions. We show that a certain boundary condition reproduces the usual $\eta$-deformed PCM and another one leads to a new kind of Yang-Baxter deformation.

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Cited by 2 Pith papers

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  1. The Yang-Baxter Sigma Model from Twistor Space

    hep-th 2026-02 unverdicted novelty 7.0 of 10

    Twistor-space 6d Chern-Simons theory with Yang-Baxter boundary conditions yields a 4d integrable field theory whose symmetry reduction is the 2d Yang-Baxter sigma model.

  2. Courant-Hilbert deformations of Yang-Baxter sigma models

    hep-th 2026-02 conditional novelty 6.0 of 10

    Yang-Baxter and Courant-Hilbert deformations combine inside 4D Chern-Simons theory: the corrected action equals the master Lagrangian plus half the trace of the energy-momentum tensor.

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