4.4 Article

The inversion formula and 6j symbol for 3d fermions

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 9, 页码 -

出版社

SPRINGER
DOI: 10.1007/JHEP09(2020)148

关键词

Conformal and W Symmetry; Conformal Field Theory; Nonperturbative Effects

资金

  1. DOE [DE-SC0020318]
  2. Simons Foundation [488651]
  3. Walter Burke Institute for Theoretical Physics at Caltech
  4. Sherman Fairchild Foundation
  5. U.S. Department of Energy, Office of Science, Office of High Energy Physics [DE-SC0011632]
  6. U.S. Department of Energy (DOE) [DE-SC0020318] Funding Source: U.S. Department of Energy (DOE)

向作者/读者索取更多资源

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 fermionic operators. We then compute corrections to the MFT spectrum and couplings due to the inversion of a single operator, such as the stress tensor or a low-dimension scalar. These results are valid at finite spin and extend the perturbative large spin analysis to include non-perturbative effects in spin.

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