1 Definition

In the language, we will define the superconformal structure as a distribution . Such a distribution defines a map:

We can always choose coordinates on so that is denerated by given by:

The map is defined as follows: it brings a point to the -dimensional submanifold of which is the trajectory of a superparticle passing through the point with the velocity .

2 Normal form of structure

3 Categorical interpretation of structure

To define an structure is to define a natural transformation from the identity functor to . In other words the correspondence comes with an actual map from to its dual given by Eqs. (9), (11).