SUPER AND ANTI-SUPER BF SYSTEMS IN THE SUPERSPACE FORMALISM

We consider arbitrary-dimensional super and anti-super BF systems by u sing a superspace formalism. After introducing superconnections and th eir associated supercurvatures in a superspace, we show how to recover the off-shell nilpotent BRST transformations of the fields present in the super BF systems. Our formalism permits us also to obtain an anti -BRST operator, which leads to the construction of the anti-super BF s ystems. These latter systems are not fundamentally different from the super BF systems, since there is a complete mirror symmetry between th em.