SESZIONE DI TORINO
The four dimensional Einstein-Maxwell action is known to have a supersymmetric extension. Derivation of the attractor mechanism equations supposes making some manipulations with the supersymmetric Einstein-Maxwell action, such as passing to a one dimension. Supersymmetric properties of the dimensionally reduced Einstein-Maxwell action remain not so obvious. To clarify these properties we start directly from a one dimensional supersymmetry algebra and pick up its two representations: vector and conformal one. By their own these representations perfectly describe the ``gravity'' and ``vector'' part of the standard action governing attractor mechanism. When reconciling these different parts, the supersymmetry and conformal symmetry uniquely fix the form of the one dimensional supersymmetric action, and, surprisingly, its bosonic part somewhat differs from the standard one. Explanation of this discrepancy is yet to be understood.

DATA: 29-04-2008