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

  title={The Lorentzian inversion formula and the spectrum of the 3d O(2) CFT},
  author={Junyu Liu and David Meltzer and David Poland and David Simmons-Duffin},
  journal={arXiv: High Energy Physics - Theory},
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… Expand
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