BF AND ANTI-BF THEORIES IN THE GENERALIZED CONNECTION FORMALISM

We present a generalized connection formalism to explicitly determine an off-shell BRST–anti-BRST algebra for BF theories. This results in the construction of anti-BF theories based on an anti-BRST exact quantum action. These are not fundamentally different from BF theories, since they are in complete duality with respect to a mirror symmetry of the ghost numbers.