Diffeormophism Invariance

Lets assume we have a diffeomorphic invariant action with:

Scalars Φ, Vectors A, Fermions Ψ and Gravitinos X. And dilatons c.

Then we have terms:

(e^8)∂Φ∂Φ
(e^3)Ψ∂Ψ
(e^12)(∂A∂A+A^4)
c^2(e^9)X∂X
c^2(e^12)∂e∂e
mΨ*Ψ

Each term must equal -4.

Conformal weights
[c] = 5/3
[e] = -2/3
[X] = -7/6
[A] = 1
[Ψ] = -3/2
[Φ] = -1/3
[m] = -1
Interaction weights = 2-|spin|