Algebraic setup for the gaugefixing of BF and super BF systems
Abstract
We construct the general gaugefixed action for nonabelian BF systems on arbitrary dimensional manifolds. We exhibit an algebraic structure underlying the BatalinVilkovisky framework which permits us to obtain straighforwardly the action solution of the master equation, thus avoiding its usual iterative construction. The final gaugefixed action is found to involve at most trilinear couplings among ghosts and antighosts. We exhibit another algebraic structure underlying the super BF systems allowing to construct automatically the corresponding offshell nilpotent BRST operation. The gaugefixing for these latter systems is also presented as well as possible topological invariants. Finally, we discuss the metric independence of the partition function for the nonabelian BF systems.
Unité de Recherche des Universités Paris 6 et Paris 11 associée au CNRS.
 Publication:

Physics Letters B
 Pub Date:
 January 1990
 DOI:
 10.1016/03702693(90)90099R
 Bibcode:
 1990PhLB..235...71W