Conserved supercurrents and Fayet-Iliopoulos terms in supergravity

Recently there has appeared in the literature a sequence of papers questioning the consistency of supergravity coupled to Fayet-Iliopoulos terms. A key feature of these arguments is a demonstration that the conventional superspace stress tensor fails to be gauge invariant. We briefly show here how this can be understood as defining the stress tensor in a non-covariant Brans-Dicke frame in an underlying superconformal theory. When converted to the Einstein frame, the inconsistency vanishes, which is consistent with the emergence of a global symmetry discussed in these papers.