The inversion formula and 6j symbol for 3d fermions

  title={The inversion formula and 6j symbol for 3d fermions},
  author={Soner Albayrak and David Meltzer and David Poland},
  journal={arXiv: High Energy Physics - Theory},
In this work we study the $6j$ symbol of the $3d$ conformal group for fermionic operators. In particular, we study 4-point functions containing two fermions and two scalars and also those with four fermions. By using weight-shifting operators and harmonic analysis for the Euclidean conformal group, we relate these spinning $6j$ symbols to the simpler $6j$ symbol for four scalar operators. As one application we use these techniques to compute $3d$ mean field theory (MFT) OPE coefficients for… Expand

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