2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223739We propose the superconnection formalism to construct the off-shell BRST-VSUSY superalgebra for D=4 BF theories. The method is based on the natural introduction of physical fields as well as auxiliary fields via superconnections and their associated supercurvatures defined on a superspace. We also give a prescription to build the off-shell BRST-VSUSY exact quantum action.Latex, 13 pages, no figures, comments and references addedHigh Energy Physics - TheoryOff-shell BRST-VSUSY superalgebra for D=4 BF theories in the superconnection formalismtext