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Flowing from the Ising model on the fuzzy sphere to the 3D Lee-Yang CFT

Published inThe journal of high energy physics, vol. 10, no. 10, p. 15
Publication date2025
First online date2025-10-03
Abstract

We employ the Fuzzy Sphere regulator to study the 3D Lee-Yang CFT. The model is defined by deforming the Ising model on the Fuzzy Sphere via a purely imaginary longitudinal magnetic field. This model undergoes a quantum phase transition, whose critical point we determine and identify with the 3D Lee-Yang CFT. We show how to tune the model and find that the lowest-lying states of the Hamiltonian align well with the expected CFT spectrum. We discuss the Fuzzy Sphere estimates for the scaling dimension ∆$_{ϕ}$ of the lowest primary operator. Finally, we interpret small deviations from the CFT expectations in terms of the leading irrelevant operators of the Lee-Yang CFT. We show that the Fuzzy Sphere calculations are compatible with the best five-loop ϵ-expansion estimates.

Keywords
  • Field Theories in Lower Dimensions
  • Scale and Conformal Symmetries
Citation (ISO format)
ELIAS MIRÓ, Joan, DELOUCHE, Olivier. Flowing from the Ising model on the fuzzy sphere to the 3D Lee-Yang CFT. In: The journal of high energy physics, 2025, vol. 10, n° 10, p. 15. doi: 10.1007/JHEP10(2025)037
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Article (Published version)
Identifiers
Additional URL for this publicationhttps://link.springer.com/10.1007/JHEP10(2025)037
Journal ISSN1029-8479
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