The structure of space-time emerging from the two-superbody problem in Chern Simons supergravity

We show that the exact solution of the two-superbody problem in N = 2 Chern Simons supergravity in 2+1 dimensions leads to a supermultiplet of space-times characterized by the two gauge invariant observables of the super Poincaré group. The metric of this space-time supermultiplet can be cast into the form of a spinning cone in which the coordinates do not commute or of a spinning cone with an additional finite discrete dimension. Some of the interesting features of this universe and their possible physical implications are discussed in the light of a corresponding observation by Witten.