Charge versus retained formal order

versus retained formal order{ The coefficient ${\mathcal{C}}_i$ is charged: its first scalar BRST variation is $\kappa {\mathcal{J}}_i$.

The order-labelled insertion ${\kappa }^3{\mathcal{C}}_i$ has its first variation at order four. It is therefore closed modulo ${\kappa }^4$, but that truncated zero is not an exact invariance theorem.

No real nonzero number is substituted for a nilpotent element of $R_3$.}