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Auxiliary Field Deformations of (Semi-)Symmetric Space Sigma Models

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arxiv 2409.05704 v2 pith:MPBLUGHL submitted 2024-09-09 hep-th gr-qcmath-phmath.MPnlin.SI

classification hep-thgr-qcmath-phmath.MPnlin.SI
keywords modelsarxivauxiliarydeformationsfieldinfinitemathbbsigma
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abstract

We generalize the auxiliary field deformations of the principal chiral model (PCM) introduced in arXiv:2405.05899 and arXiv:2407.16338 to sigma models whose target manifolds are symmetric or semi-symmetric spaces, including a Wess-Zumino term in the latter case. This gives rise to a new infinite family of classically integrable $\mathbb{Z}_2$ and $\mathbb{Z}_4$ coset models of the form which are of interest in applications of integrability to worldsheet string theory and holography. We demonstrate that every theory in this infinite class admits a zero-curvature representation for its equations of motion by exhibiting a Lax connection.

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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. 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.

  2. Soliton Surfaces and the Geometry of Integrable Deformations of the $\mathbb{CP}^{N-1}$ Model

    hep-th 2025-09 conditional novelty 6.0 of 10

    Instanton solutions with vanishing energy-momentum tensor remain solutions under analytic TTbar-like deformations, and the deformed CP^{N-1} model is equivalent to the undeformed model on a field-dependent unit-determ...

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