The most general 4 D $$ mathcal{D} $$ N $$ mathcal{N} $$ = 1 superconformal blocks for scalar operators

We compute the most general superconformal blocks for scalar operators in 4 $$ mathcal{d} $$ $$ mathcal{n} $$ = 1 superconformal field theories. specifically we employ the supershadow formalism to study the four-point correlator 〈φ1φ2φ3φ4〉, in which the four scalars, φ 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 4 $$ mathcal{d} $$ $$ mathcal{n} $$ = 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.