Bootstrapping O(N) vector models with four supercharges in 3 ≤ d ≤ 4

Shai M. Chester, Luca V. Iliesiu, Silviu S. Pufu, Ran Yacoby

Research output: Contribution to journalArticlepeer-review

30 Scopus citations


Abstract: We analyze the conformal bootstrap constraints in theories with four super-charges and a global O(N) × U(1) flavor symmetry in 3 ≤ d ≤ 4 dimensions. In particular, we consider the 4-point function of O(N)-fundamental chiral operators Zi that have no chiral primary in the O(N)-singlet sector of their OPE. We find features in our numerical bounds that nearly coincide with the theory of N + 1 chiral super-fields with superpotential W = X∑i = 1NZi2 as well as general bounds on SCFTs where ∑i = 1NZi2 vanishes in the chiral ring.

Original languageEnglish (US)
Article number103
JournalJournal of High Energy Physics
Issue number5
StatePublished - May 1 2016

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • Conformal and W Symmetry
  • Extended Supersymmetry
  • Global Symmetries


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