This talk is divided into two parts. In the first part, we review the Lee-Yang theorem and the associated Lee-Yang conformal field theory (CFT). We then introduce a Fuzzy Sphere regulator to study the 3D Lee-Yang CFT. The model is constructed by deforming the Ising model on the Fuzzy Sphere with a purely imaginary longitudinal magnetic field, leading to a quantum phase transition. In the second part, we present the main results of arXiv:2505.07655, where the critical point of the model is identified with the 3D Lee-Yang CFT. We describe how to tune the model and show that the lowest-lying states of the Hamiltonian align well with the expected CFT spectrum. We discuss Fuzzy Sphere estimates for the scaling dimension ∆ϕ of the lowest primary operator and interpret small deviations from the expected CFT values in terms of leading irrelevant operators. Finally, we show that the Fuzzy Sphere results are consistent with the best available five-loop ϵ-expansion estimates.
By Anders Sandvik
By Giulia Fardelli
By Andreas Läuchli
By Igor Herbut
By Subir Sachdev
By Christian Voinea
By Max Metliski
By Mykola Dedushenko
By Ruihua Fan
By Francesco Parisen-Toldin
By Zheng Zhou
By Johannes Hofman
By Giulio Biroli
By Giulio Biroli
