Superconformal mechanics, black holes, and non-linear realizations
arXiv:hep-th/9810230 · doi:10.1103/PhysRevD.59.084015
Abstract
The OSp(2|2)-invariant planar dynamics of a D=4 superparticle near the horizon of a large mass extreme black hole is described by an N=2 superconformal mechanics, with the SO(2) charge being the superparticle's angular momentum. The {\it non-manifest} superconformal invariance of the superpotential term is shown to lead to a shift in the SO(2) charge by the value of its coefficient, which we identify as the orbital angular momentum. The full SU(1,1|2)-invariant dynamics is found from an extension to N=4 superconformal mechanics.
19 pages, plain latex file. Slightly shortened version, two references added