On the Role of Torsion and Higher Forms in Off‐Shell Supergravity

The presence of a nonvanishing totally antisymmetric (super)torsion, equivalent to an axial vector, and higher forms in the “new minimal” “old off-shell formulations N = 1 $\mathcal {N}=1$ , D 4 $D=4$ supergravity is elaborated. geometric superspace approach study both Lagrangian closure Bianchi identities this framework, showing how aforementioned vector torsion contributes new old minimal set auxiliary fields adopted. In particular, reproduce (a variant of) within setup, two real 3-form potentials.