  We investigate thermal activation of thin-shells around anti-de Sitter black
holes. Under the thin-shell approximation, we extensively study the parameter
region that allows a bubble nucleation bounded by a thin-shell out of a thermal
bath. We show that in general if one fixes the temperature outside the shell,
one needs to consider the presence of a conical deficit inside the shell in the
Euclidean manifold, due to the lack of solutions with a smooth manifold. We
show that for a given set of theoretical parameters, i.e., vacuum and shell
energy density, there is a finite range of black hole masses that allow this
transition. Most interestingly, one of them describes the complete evaporation
of the initial black hole.
