Superconformal mechanics, black holes, and nonlinear realizations

Abstract

The OSp(2|2)-invariant planar dynamics of a D=4 superparticle near the\nhorizon of a large mass extreme black hole is described by an N=2\nsuperconformal mechanics, with the SO(2) charge being the superparticle's\nangular momentum. The {\\it non-manifest} superconformal invariance of the\nsuperpotential term is shown to lead to a shift in the SO(2) charge by the\nvalue of its coefficient, which we identify as the orbital angular momentum.\nThe full SU(1,1|2)-invariant dynamics is found from an extension to N=4\nsuperconformal mechanics.\n