## N=4 superconformal mechanics and black holes

The motion of a particle near the Reissner-Nordstroem black hole horizon is described by conformal mechanics. In this paper we present an extended one-dimensional analysis of the N=4 superconformal mechanics coupled to n copies of N=8, d=1 vector supermultiplets. The scalar manifold of the vector multiplet sector of the constructed system possesses N=8, d=1 supersymmetry and, therefore, is of special Kaehler type. Coupling the vector multiplets to a dilaton superfield makes the theory invariant under N=4 superconformal symmetry, thus reducing the number of supersymmetries under which the system is invariant to N=4. The superconformal symmetry completely fixes the resulting action.more »