2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184516We derive the most general local boundary conditions necessary for T-duality to be compatible with superconformal invariance of the two-dimensional N=1 supersymmetric nonlinear sigma model with boundaries. To this end, we construct a consistent gauge invariant parent action by gauging a U(1) isometry, with and without boundary interactions. We investigate the behaviour of the boundary conditions under T-duality, and interpret the results in terms of D-branes.48 pages, LaTeX, v2: typos corrected, references addedHigh Energy Physics - Theorytext