= Constant Fayet–Iliopoulos terms in conventional N=1 supergravity
In the conventional two-derivative <supergravity> action described by a <Kähler potential>, <superpotential> and <gauge kinetic function>, a constant <Fayet–Iliopoulos term> cannot be added independently of the gauging. It makes the Abelian gauging an <R-symmetry> gauging, and the superpotential must have the corresponding gauge transformation. Thus the rigid Abelian constant is subject to extra local consistency conditions. This statement concerns the conventional matter-coupled action, not distinct nonstandard FI constructions.
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