Let us try to relax the condition of the -invariance for the vertex, i.e. do not require that . In this case the deformed action will not be -invariant. It does not seem to be possible to modify the definition of so that the deformed action be invariant.

Notice however that it is invariant up to BRST-exact terms, because

We will deal with this complication in the following way. Let us assume that, instead of being an integral over the worldsheet, is actually a sum of insertions of some operators into fixed points on the worldsheet.

We can then restrict the group of diffeomorphisms to a subgroup which preserves those points.

Let be the subalgebra of which preserves the points of insertions; then:

We will also impose on all the same restrictions as on the integrated vertex but only for with limited to belong to .

Remember that we have to integrate over some cycle in the moduli space of Lagrangian submanifolds. We postulate that, in case of unintegrated vertex: