  In this paper we review and discuss several aspects of supertranslations and
their associated algebras at the horizon of a Schwarzschild black hole. We will
compare two different approaches on horizon supertranslations, which were
recently considered in separate publications. Furthermore we describe a
possible holographic description of a Schwarzschild black hole in terms of a
large N boundary theory, which accommodates the Goldstone bosons of the horizon
supertranslations.
