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We study horizon shells and soldering freedom for extreme black holes and howsupertranslation-like Bondi-Metzner-Sachs (BMS) symmetries appear as solderingtransformations. Further, for a null shell placed infinitesimally close to thehorizon of an extreme Reissner-Nordstr$\ddot{o}$m (RN) black hole, we showsuperrotation-like symmetries also arise as soldering freedom. Next,considering the interaction of impulsive gravitational waves supported at thehorizon shell with test particles, we study how the "memory" (or the imprints)of BMS-like symmetries gets encoded in the geodesics (test particles) crossingthe shell. Our study shows, timelike test particles get displaced from theirinitial plane when they cross the horizon shell. For a null geodesic congruencecrossing the horizon shell, the optical tensors corresponding to the congruencesuffer jumps. In both the cases, the changes are induced by BMS parameters thatconstitute the gravity wave and matter degrees of freedom of the shell.

Memory effect and BMS symmetries for extreme black holes