N=4 Superconformal Mechanics and Black Holes

Understand

The motion of a particle near the Reissner-Nordstrom 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 constructed system possesses a special Kahler geometry in the scalar sector of the vector multiplets as well as an N=4 superconformal symmetry which is provided by a proper coupling to a dilaton superfield.
• The superconformal symmetry completely fixes the resulting action.