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Autori principali: Sarma, Abhijat, Zhou, Zheng, Lanzetta, Ryan A., He, Yin-Chen
Natura: Preprint
Pubblicazione: 2026
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Accesso online:https://arxiv.org/abs/2604.07554
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author Sarma, Abhijat
Zhou, Zheng
Lanzetta, Ryan A.
He, Yin-Chen
author_facet Sarma, Abhijat
Zhou, Zheng
Lanzetta, Ryan A.
He, Yin-Chen
contents We use the fuzzy-sphere approach to study the Bose-Kondo impurity problem, namely a spin-$S$ impurity coupled to the $(2+1)$-dimensional $O(3)$ Wilson-Fisher CFT (Heisenberg universality class). We demonstrate that for $S=1/2,1,3/2$ the impurity flows to a distinct stable interacting conformal defect for each $S$. Using large-scale exact diagonalization and density-matrix renormalization group methods, we observe integer-spaced defect spectrum consistent with defect conformal symmetry and compute several low-lying defect primary operators as well as the RG monotonic $g$-function. Our findings show that despite sharing the same symmetry and anomaly, Bose-Kondo impurities flow to distinct stable infrared conformal fixed points, which we refer to as \emph{fortuitous universality}. We expect this fortuitous universality to persist for all $S$, extending to $S\rightarrow\infty$, with each spin-$S$ impurity flowing to its own stable infrared conformal fixed point.
format Preprint
id arxiv_https___arxiv_org_abs_2604_07554
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Fortuitous Universality of Bose-Kondo Impurities
Sarma, Abhijat
Zhou, Zheng
Lanzetta, Ryan A.
He, Yin-Chen
Strongly Correlated Electrons
High Energy Physics - Theory
We use the fuzzy-sphere approach to study the Bose-Kondo impurity problem, namely a spin-$S$ impurity coupled to the $(2+1)$-dimensional $O(3)$ Wilson-Fisher CFT (Heisenberg universality class). We demonstrate that for $S=1/2,1,3/2$ the impurity flows to a distinct stable interacting conformal defect for each $S$. Using large-scale exact diagonalization and density-matrix renormalization group methods, we observe integer-spaced defect spectrum consistent with defect conformal symmetry and compute several low-lying defect primary operators as well as the RG monotonic $g$-function. Our findings show that despite sharing the same symmetry and anomaly, Bose-Kondo impurities flow to distinct stable infrared conformal fixed points, which we refer to as \emph{fortuitous universality}. We expect this fortuitous universality to persist for all $S$, extending to $S\rightarrow\infty$, with each spin-$S$ impurity flowing to its own stable infrared conformal fixed point.
title Fortuitous Universality of Bose-Kondo Impurities
topic Strongly Correlated Electrons
High Energy Physics - Theory
url https://arxiv.org/abs/2604.07554