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arXiv · 2602.04958

Improving 3d Ising OPE Coefficients with Fuzzy Sphere Conformal Generators

Giulia Fardelli·A. Liam Fitzpatrick·Emanuel Katz
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Abstract

We use the $K$ special conformal generator in the Fuzzy sphere setup of the Ising CFT to determine primary states. For $Δ\lesssim 8$, we recover the known primaries and find several new ones, including in the parity-odd sector. We then use these primaries to compute OPE coefficients. We find that using primaries constructed from special-$K$ allows for better extrapolation of OPE coefficients to the CFT limit, because of the existence of an $O(1)$ gap between primaries and descendants in the spectrum of eigenvalues of $|K|^2$ which protects the primaries from strongly mixing with descendants. We compare the CFT data we obtain with the Eigenstate Thermalization Hypothesis.

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Giulia Fardelli, A. Liam Fitzpatrick, Emanuel Katz. 2026-02-04. Improving 3d Ising OPE Coefficients with Fuzzy Sphere Conformal Generators. https://arxiv.org/abs/2602.04958

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