Superspace invariants and correlators in 4d N $$ \mathcal{N} $$ = 1 superconformal field theories

Abstract

Abstract Using polarization spinor methods in conjunction with the superspace formalism, we construct 3-point superconformal invariants that are used to determine the form of 3-point correlators of spinning superfield operators in N $$ \mathcal{N} $$ = 1 superconformal field theories (SCFTs) in 4-dimensions. We enumerate the structural form of various spinning 3-point correlators using these invariants and find additional constraints on their form when the operators are conserved supercurrents. For these purposes, we first construct the invariants and 3-point correlators in non-supersymmetric 4d CFTs which are then extended using superspace methods to 4d SCFTs.

Keywords

• Field Theories in Higher Dimensions
• Scale and Conformal Symmetries
• Extended Supersymmetry