  We study charged black hole and wormhole solutions of Type 0A/IIA string
theory in two dimensions. There is a competition between Euclidean wormholes
and near extremal black holes in the thermodynamic ensemble. In a certain
regime of phase space, the former can disassociate into the latter. Since such
solutions are of string scale near the wormhole throat that takes an $AdS_2$
form, there is a need for an exact worldsheet description. We discuss relevant
WZW coset models which we we argue will shed light on this problem. Finally, we
present appropriate versions of the Type 0A/IIA matrix quantum mechanics models
that are expected to describe these geometries.
