We describe the action of the euclidean conformal group on spheres. Using the example of S7 compactification of the eleven-dimensional supergravity we show how the full spectrum provides unitary representations of SO(8,1). Our methods can be applied to compactification on spheres, products of spheres or any other manifold on which there is an action of a conformal group. We also make some conjectures concerning the relationship between the conformal group and supersymmetry.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics