Bootstrapping 3D fermions with global symmetries

  title={Bootstrapping 3D fermions with global symmetries},
  author={Luca V. Iliesiu and F. Kos and D. Poland and S. Pufu and D. Simmons-Duffin},
  journal={Journal of High Energy Physics},
  • Luca V. Iliesiu, F. Kos, +2 authors D. Simmons-Duffin
  • Published 2017
  • Physics
  • Journal of High Energy Physics
  • A bstractWe study the conformal bootstrap for 4-point functions of fermions 〈ψiψjψkψℓ〉 in parity-preserving 3d CFTs, where ψi transforms as a vector under an O(N ) global symmetry. We compute bounds on scaling dimensions and central charges, finding features in our bounds that appear to coincide with the O(N ) symmetric Gross-Neveu-Yukawa fixed points. Our computations are in perfect agreement with the 1/N expansion at large N and allow us to make nontrivial predictions at small N . For values… CONTINUE READING
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