Bootstrapping 3D fermions with global symmetries

Luca Iliesiu, Filip Kos, David Poland, Silviu S. Pufu, David Simmons-Duffin

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65 Scopus citations


We study the conformal bootstrap for 4-point functions of fermions 〈ψiψjψkψ〉 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 of N for which the Gross-Neveu-Yukawa universality classes are relevant to condensed-matter systems, we compare our results to previous analytic and numerical results.

Original languageEnglish (US)
Article number36
JournalJournal of High Energy Physics
Issue number1
StatePublished - Jan 1 2018

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • 1/N Expansion
  • Conformal Field Theory
  • Conformal and W Symmetry
  • Global Symmetries


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