Q-Exact Actions for BF Theories

Abstract

The actions for all classical (and consequently quantum) $BF$ theories on $n$-manifolds is proven to be given by anti-commutators of hermitian, nilpotent, scalar fermionic charges with Grassmann-odd functionals. In order to show this, the space of fields in the theory must be enlarged to include ``mass terms'' for new, non-dynamical, Grassmann-odd fields. The implications of this result on observables are examined.

12 pgs., LaTeX, MIT-CTP-2271

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