2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52970In N=1, 2D superstring theory in the linear dilaton background, there exists falling D0-branes that are described by time-dependent boundary states. These falling D0-brane boundary states can be obtained by adapting the FZZT boundary states of N=2 Super Liouville Field Theory (SLFT) to the case of the N=1, 2D superstring. In particular, we find that there are four stable, falling D0-branes (two branes and two anti-branes) in the Type 0A projection and two unstable ones in the Type 0B projection, leaving us with a puzzle for the matrix model dual of the theory.17 pages, LaTeXHigh Energy Physics - Theorytext