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Flowing from the Ising Model on the Fuzzy Sphere to the 3D Lee-Yang CFT

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arxiv 2505.07655 v2 pith:XRLD2BNC submitted 2025-05-12 hep-th cond-mat.stat-mechcond-mat.str-elhep-lat

Joan Elias Miro , Olivier Delouche This is my paper
classification hep-thcond-mat.stat-mechcond-mat.str-elhep-lat
keywords fuzzymodelspherelee-yangestimatesisingalignbest
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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 $\Delta_\phi$ 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 $\epsilon$-expansion estimates.

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Cited by 6 Pith papers

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