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Conformal Field Theory Approach to the Kondo Effect

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arxiv cond-mat/9512099 v1 pith:PBQRYZVN submitted 1995-12-12 cond-mat hep-th

classification cond-mathep-th
keywords kondoconformalfieldproblemtheoryappliedapproachboundary
verification ladder T0 review T1 audit T2 compute T3 formal
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Recently, a new approach, based on boundary conformal field theory, has been applied to a variety of quantum impurity problems in condensed matter and particle physics. A particularly enlightening example is the multi-channel Kondo problem. In this review some earlier approaches to the Kondo problem are discussed, the needed material on boundary conformal field theory is developed and then this new method is applied to the multi-channel Kondo problem.

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Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain

    cond-mat.str-el 2025-08 conditional novelty 8.0 of 10

    Exact TBA expressions for impurity free energy and entropy in all four phases of the Heisenberg chain explain non-monotonic and negative impurity entropy via a split Hilbert space of excitation towers.

  2. Breakdown of Monotonic Impurity Entropy Flow in $\mathscr{PT}$-Symmetric Multichannel Kondo Systems

    cond-mat.str-el 2026-08 conditional novelty 7.0 of 10

    In a PT-symmetric multichannel Kondo model, exact Bethe ansatz calculations show impurity entropy becomes nonmonotonic in the zero-mode and local-moment phases, breaking generalized g-theorem irreversibility.

  3. Entanglement in Presence of Topological Interfaces and Dualities

    hep-th 2026-07 conditional novelty 7.0 of 10

    Duality interfaces in 2d CFT project the vacuum entanglement spectrum onto a single symmetry sector, making the interface itself a physical symmetry-resolution filter.

  4. Monotonic Impurity Entropy beyond Unitarity: the $\mathscr{PT}-$Symmetric Quantum Impurity Model

    cond-mat.str-el 2026-06 unverdicted novelty 7.0 of 10

    In a PT-symmetric Kondo impurity model the impurity entropy flows monotonically from ln4 (UV) to 0 (IR) even though the boundary interaction is non-unitary.

  5. Non-Invertible Symmetries and Boundaries for Two-Dimensional Fermions

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    Z_k symmetries from Pythagorean triples in two free Weyl fermions yield non-invertible defects that generate all U(1)^2-preserving boundaries for two Dirac fermions.

  6. The analytic bootstrap at finite temperature

    hep-th 2025-06 conditional novelty 7.0 of 10

    Universal dispersion-based formulae for thermal two-point functions of scalars that satisfy bootstrap axioms except clustering at infinite distance.

  7. Left-Right Relative Entropy

    hep-th 2024-11 unverdicted novelty 7.0 of 10

    Introduces left-right relative entropy for 2d CFT boundary states that reduces to KL divergence via modular data, revealing relative entanglement sectors linked to 't Hooft anomalies in models like Ising and WZW.

  8. Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders

    hep-th 2025-06 unverdicted novelty 5.0 of 10

    An algebraic RG formalism for topological orders uses ideals in fusion rings to encode noninvertible symmetries and condensation rules between anyons.

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