Bootstrapping mixed correlators in 4D N $$ \mathcal{N} $$ = 1 SCFTs

Abstract

Abstract The numerical conformal bootstrap is used to study mixed correlators in N $$ \mathcal{N} $$ = 1 superconformal field theories (SCFTs) in d = 4 spacetime dimensions. Systems of fourpoint functions involving scalar chiral and real operators are analyzed, including the case where the scalar real operator is the zero component of a global conserved current multiplet. New results on superconformal blocks as well as universal constraints on the space of 4D N $$ \mathcal{N} $$ = 1 SCFTs with chiral operators are presented. At the level of precision used, the conditions under which the putative “minimal” 4D N $$ \mathcal{N} $$ = 1 SCFT may be isolated into a disconnected allowed region remain elusive. Nevertheless, new features of the bounds are found that provide further evidence for the presence of a special solution to crossing symmetry corresponding to the “minimal” 4D N $$ \mathcal{N} $$ = 1 SCFT.

Keywords

• Conformal and W Symmetry
• Conformal Field Theory
• Supersymmetry and Duality