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.

33 pages + appendix; v2: references added

References in corpus (8)

• Duality and defects in rational conformal field theory
• The ODE/IM Correspondence
• The g-theorem and quantum information theory
• Introduction to the thermodynamic Bethe ansatz
• Perturbed Defects and T-Systems in Conformal Field Theory
• Notes on parafermionic QFT's with boundary interaction
• Appearance of ferroelectricity in thin films of incipient ferroelectric
• On the ODE/IM correspondence for minimal models

Cited by in corpus (13)

• 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
• Twistors, the ASD Yang-Mills equations, and 4d Chern-Simons theory
• 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
• Ising model in a boundary magnetic field with random discontinuities
• Contact 4d Chern-Simons theory: Generalities
• ODE/IQFT correspondence for the generalized affine $\mathfrak{sl}(2)$ Gaudin model
• Anisotropic Kondo line defect and ODE/IM correspondence
• On the Integrable Structure of the SU(2) Wess-Zumino-Novikov-Witten Model