Is it possible to add the generators of dilatations to Poincare superalgebra in any dimensions with any number of supercharges without adding the full superconformal generators?
I have only seen superconformal algebras so far but never a Weyl-SUSY algebra that is the bosonic sector only consists of $\{P_a, J_{ab}, D, \text{R-symmetry generator}\}$ but not the generators of special conformal symmetry $\{K_a\}$.