Emergence of 3D Superconformal Ising Criticality on the Fuzzy Sphere.

Authors

Yin Tang, Cristian Voinea, Liangdong Hu, Zlatko Papić, W Zhu

Published in

Physical review letters. Volume 137. Issue 2. Pages 026502. Jul 10, 2026.

Abstract

Supersymmetric conformal field theories form a unique subset of quantum field theories that provide powerful insights into strongly coupled critical phenomena. Here, we present a microscopic and nonperturbative realization of the three-dimensional N=1 superconformal Ising critical point based on a Yukawa-type coupling between a 3D Ising conformal field theory and a gauged Majorana fermion. Using the recently developed fuzzy-sphere regularization, we directly extract the scaling dimensions of low-lying operators via the state-operator correspondence. At the critical point, we demonstrate conformal multiplet structure together with the hallmark of emergent spacetime supersymmetry through characteristic relations between fermionic and bosonic operators. Moreover, by tuning the Yukawa coupling, we explicitly track the evolution of operator spectra from the decoupled Ising-Majorana fixed point to the interacting superconformal fixed point, revealing renormalization group flow at the operator level. Our results establish a nonperturbative microscopic route to 3D supersymmetric conformal field theories.

PMID:
42503079
Bibliographic data and abstract were imported from PubMed on 26 Jul 2026.

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