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Motivated by recent discussions, we revisit the issue of whether globallysupersymmetric theories with non-zero Fayet-Iliopoulos terms may beconsistently coupled to supergravity. In particular, we examine claims that afundamental inconsistency arises due to the conflicting requirements which areimposed on the $R$-symmetry properties of the theory by the supergravityframework. We also prove that certain kinds of Fayet-Iliopoulos contributionsto the supercurrent supermultiplets of theories with non-zero Fayet-Iliopoulosterms fail to exist. A key feature of our discussion is an explicit comparisonbetween results from the chiral (or ``old minimal'') and linear (or ``newminimal'') formulations of supergravity, and the effects within each of theseformalisms that are induced by the presence of non-zero Fayet-Iliopoulos terms.

On the Inconsistency of Fayet-Iliopoulos Terms in Supergravity Theories