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2020

The Lorentzian inversion formula and the spectrum of the 3d O(2) CFT

Liu, Junyu, Meltzer, David, Poland, David et al.

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We study the spectrum and OPE coefficients of the three-dimensional critical O(2) model, using four-point functions of the leading scalars with charges 0, 1, and 2 ($s$, $\phi$, and $t$).

We obtain numerical predictions for low-twist OPE data in several charge sectors using the extremal functional method.
We compare the results to analytical estimates using the Lorentzian inversion formula and a small amount of numerical input.
We find agreement between the analytic and numerical predictions.

The Lorentzian inversion formula and the spectrum of the 3d O(2) CFT · Around

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