ANTISYMMETRIC TENSOR GAUGE-THEORY

We analyse to all perturbative orders the properties of two possible q uantum extensions of classically on-shell equivalent antisymmetric ten sor gauge models in four dimensions. The first case, related to the so ft breaking of a topological theory wants a gauge field of canonical d imension one. The other possibility, which assigns canonical dimension two to the gauge field, leads to the sigma model interpretation of th e theory. In both instances we find that the models are anomaly-free.