Construct the -exact BV Hamiltonian generating the action of left-deforming vector fields
Construct the closed form base with respect to this action
Suppose that our left-deforming vector field is actually conformal. In this case it is a symmetry of . We can describe as the BV Hamiltonian corresponding to the holomorphic symmetry of , generated by the Noether charge . It satisfies as a consequence of the nilpotence of the -ghost.
Let us now suppose that is a left vector field .
TODO, maybe this will be as easy as conformal.
Now suppose that is a left-deforming vector field .
TODO, this could be harder.