The most general 4D N=1 superconformal blocks for scalar operators

We compute the most general superconformal blocks for scalar operators in 4D N = 1 superconformal field theories. Specifically we employ the supershadow formalism to study the four-point correlator , in which the four scalars, Phi(i), have arbitrary scaling dimensions and R-charges. The only constraint on the R-charges is from R-symmetry invariance of the four-point correlator and the exchanged operators can have arbitrary R-charges. Our results extend previous studies on 4D N = 1 superconformal blocks to the most general case, which are the essential ingredient for bootstrapping mixed correlators of scalars with independent scaling dimensions and R-charges.