Black Holes and Superconformal Mechanics
P. Claus, M. Derix, R. Kallosh, J. Kumar, P. K. Townsend, A. Van Proeyen
TL;DR
The paper investigates the dynamics of a (super)particle near the horizon of an extreme Reissner-Nordström black hole and shows this reduces to (super)conformal mechanics in a suitable limit. By deriving a relativistic conformal-mechanics model from the near-horizon geometry and taking a large-mass non-relativistic limit, it recovers the DFF conformal mechanics, and it extends the construction to a κ-symmetric radial superparticle, yielding an explicit OSp(1|2;R) superconformal structure. The authors provide concrete expressions for the conformal generators and their supersymmetric partners, with a massless limit producing an even simpler OS p(1|2) symmetry compatible with a flat-space-like behavior. Overall, the work clarifies how black-hole near-horizon physics naturally maps onto one-dimensional (super)conformal systems and delineates the associated limiting regimes and symmetry realizations.
Abstract
The dynamics of a (super)particle near the horizon of an extreme Reissner-Nordstrom black hole is shown to be governed by an action that reduces to a (super)conformal mechanics model in the limit of large black hole mass.