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.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- Conformal and W Symmetry
- Extended Supersymmetry
- Global Symmetries