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Kondo line defects and affine Gaudin models

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arxiv 2010.07325 v2 pith:3ROHZPS7 submitted 2020-10-14 hep-th math-phmath.MPmath.QA

classification hep-thmath-phmath.MPmath.QA
keywords modelsaffinegaudinkondochiraldefectsdescribefull
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abstract

We describe the relation between integrable Kondo problems in products of chiral $SU(2)$ WZW models and affine $SU(2)$ Gaudin models. We propose a full ODE/IM solution of the spectral problem for these models.

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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. 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.

  3. On W-algebras and ODE/IM correspondence

    hep-th 2025-08 conditional novelty 6.0 of 10

    The eigenvalues of quantum KdV-type charges in Virasoro, W3, and W4 algebras are computed from Bethe roots via WKB periods of Catalan curves, verified against direct CFT diagonalization.

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