Flat space limit of the -deformation of the action

Can we view as the deformation of the flat space action?

What happens instead: instead of

we get:

It turns out that the deformation of the BRST operator starts at the order , rather than order .

remember
we have

It turns out that the flat space action has nontrivial deformations of the BRST structure which are not tied to the deformations of the action. Such deformations may be called “wild”.

I will now talk about these "wild" deformations