Integrable Kondo problems

Abstract

We discuss the integrability and wall-crossing properties of Kondo problems, where an 1d impurity is coupled to a 2d chiral CFT and triggers a defect RG flow. We review several new and old examples inspired by constructions in four-dimensional Chern-Simons theory and by affine Gaudin models.

arXiv comment33 pages + appendix; v2: references added

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• Higher Gauging and Non-invertible Condensation Defects
• Non-Invertible Higher-Categorical Symmetries
• Non-invertible Condensation, Duality, and Triality Defects in 3+1 Dimensions
• 4-dimensional Chern-Simons theory and integrable field theories
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• Non-Abelian Toda field theories from a 4D Chern-Simons theory
• On a class of conformal $\mathcal{E}$-models and their chiral Poisson algebras
• Isolated zero mode in a quantum computer from a duality twist
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