  We analyze exactly the simplest minimal superstring theory, using its dual
matrix model. Its target space is one dimensional (the Liouville direction),
and the background fields include a linear dilaton, a possible tachyon
condensate, and RR flux. The theory has both charged and neutral branes, and
these exhibit new and surprising phenomena. The smooth moduli space of charged
branes has different weakly coupled boundaries in which the branes have
different RR charges. This new duality between branes of different charges
shows that the semiclassical notion of localized charge is not precise in the
quantum theory, and that the charges of these branes can fluctuate.
Correspondingly, the RR flux in some parts of target space can also fluctuate
-- only the net flux at infinity is fixed. We substantiate our physical picture
with a detailed semiclassical analysis of the exact answers. Along the way, we
uncover new subtleties in super-Liouville theory.
