On supercurrent superfields and Fayet–Iliopoulos terms in N=1N=1 gauge theories

Arnold, Daniel; Derendinger, Jean-Pierre; Hartong, Jelle (2013). On supercurrent superfields and Fayet–Iliopoulos terms in N=1N=1 gauge theories. Nuclear physics. B, 867(2), pp. 370-393. Amsterdam: North Holland 10.1016/j.nuclphysb.2012.10.010

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We revisit the supermultiplet structure of Noether currents for N=1 supersymmetric gauge theories. Using superfield identities and the field equations we show how to derive a superfield equation for the divergences of the Noether currents in terms of the supercurrent and anomaly superfields containing 16_B+16_F components. We refer to this as the natural supercurrent structure as it is invariant under all local symmetries of the theory. It corresponds to the S-multiplet of Komargodski and Seiberg. We clarify the on/off-shell nature of the currents appearing in this multiplet and we study in detail the effect of specific improvement transformations leading to 1) a Ferrara-Zumino multiplet and to 2) a multiplet containing the new improved energy-momentum tensor of Callan, Coleman and Jackiw. Our methods also apply to supersymmetric gauge theories with a Fayet-Iliopoulos term. We construct the natural supercurrent multiplet for such a theory and show how to improve this to a formally gauge-invariant Ferrara-Zumino multiplet by introducing a non-dynamical chiral superfield S to ensure superfield gauge invariance. Finally we study the coupling of this theory to supergravity and show that S remains non-dynamical if the theory is R-symmetric and that S becomes propagating if the theory is not R-symmetric, leading to non-minimal 16_B+16_F supergravity

Item Type:

Journal Article (Original Article)


08 Faculty of Science > Institute of Theoretical Physics
10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)

UniBE Contributor:

Arnold, Daniel, Derendinger, Jean-Pierre, Hartong, Jelle


500 Science > 530 Physics




North Holland




Factscience Import

Date Deposited:

04 Oct 2013 14:42

Last Modified:

05 Dec 2022 14:13

Publisher DOI:


Web of Science ID:





https://boris.unibe.ch/id/eprint/17029 (FactScience: 224748)

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