  We initiate a systematic study of boundary conditions in conformal field
theories with target space supersymmetry. The WZNW model on GL(1|1) is used as
a prototypical example for which we find the complete set of maximally
symmetric branes. This includes a unique brane of maximal super-dimension 2|2,
a 2-parameter family of branes with super-dimension 0|2 and an infinite set of
fully localized branes possessing a single modulus. Members of the latter
family can only exist along certain lines on the bosonic base, much like
fractional branes at orbifold singularities. Our results establish that all
essential algebraic features of Cardy-type boundary theories carry over to the
non-rational logarithmic WZNW model on GL(1|1).
