  Two theories describing antisymmetric tensor fields in 4 dimensions are well
known: the gauge invariant Kalb-Ramond model which generalizes the Maxwell
Lagrangian and the Avdeev-Chizhov model which describes self-dual 2-tensors.
Using a theorem of Jackiw and Pi, we study p-forms in D dimensions and prove
that the Kalb-Ramond model is conformal invariant only when the rank p of the
gauge tensor is equal to its canonical dimension (D-2)/2 and that the
Avdeev-Chizhov model and its new CP generalization inspired by the SU(2/1)
superalgebraic chiral structure of the electroweak interactions are both
conformal invariant in any even dimension.
