Super and anti-super BF systems in the superspace formalism

Computer Science

Scientific paper

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Scientific paper

We consider arbitrary-dimensional super and anti-super BF systems by using a superspace formalism. After introducing superconnections and their 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 systems. These latter systems are not fundamentally different from the super BF systems, since there is a complete mirror symmetry between them.

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