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Yang-Baxter deformations of the AdS$_5\times$S$^5$ supercoset sigma model from 4D Chern-Simons theory

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arxiv 2005.04950 v2 pith:H3FLBZWN submitted 2020-05-11 hep-th

Osamu Fukushima , Jun-ichi Sakamoto , Kentaroh Yoshida This is my paper · ORCID
classification hep-th
keywords modelsigmaconditionsdeformationshomogeneoussupercosettimesyang-baxter
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abstract

We present homogeneous Yang-Baxter deformations of the AdS$_5\times$S$^5$ supercoset sigma model as boundary conditions of a 4D Chern-Simons theory. We first generalize the procedure for the 2D principal chiral model developed by Delduc et al [arXiv:1909.13824] so as to reproduce the 2D symmetric coset sigma model, and specify boundary conditions governing homogeneous Yang-Baxter deformations. Then the conditions are applicable for the AdS$_5\times$S$^5$ supercoset sigma model case as well. In addition, homogeneous bi-Yang-Baxter deformation is also discussed.

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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. 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. 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.

  3. 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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