Remarks on the linearized superhair

The $l=\frac{1}{2}$ multipole solution of the Rarita-Schwinger equation of O(2) supergravity is studied on the maximally extended extreme Reissner-Nordström geometry. The role of the supersymmetry transformations in maintaining the regularity at the future and past horizons is exhibited. A supergauge-independent discussion of the supercharge as a (linearized) new black-hole parameter is given.