Geometry of ghost fields

A superconformal vector field can be parametrized by the superfield in the following way:

Indeed, it is straightforward to check:

We observe that is a section of , and therefore:

Therefore lives in and belongs to . Then we read the types of and from Eq. (23) taking into account that
  • the integrable measure should have the type

  • and

We get:

Field

is section of

integrable measure