# Note on supersymmetric Dirac-Born-Infeld action with Fayet-Iliopoulos term

Abstract : We study the Dirac-Born-Infeld (DBI) action with one linear and one non-linear supersymmetry in the presence of a constant Fayet-Iliopoulos (FI) D-term added explicitly or through a deformation of supersymmetry transformations. The linear supersymmetry appears to be spontaneously broken since the D auxiliary field gets a non-vanishing vacuum expectation value and an extra term proportional to the FI parameter involving fermions emerges in the non-linear formulation of the action written recently. However in this note, we show that on-shell this action is equivalent to a standard supersymmetric DBI action ${\it without}$ FI term but with redefined tension, at least up to order of mass-dimension 12 effective interactions.
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https://hal.archives-ouvertes.fr/hal-02447866
Contributor : Inspire Hep <>
Submitted on : Tuesday, January 21, 2020 - 9:16:21 PM
Last modification on : Tuesday, February 18, 2020 - 9:14:53 PM

### Citation

Ignatios Antoniadis, Hongliang Jiang, Osmin Lacombe. Note on supersymmetric Dirac-Born-Infeld action with Fayet-Iliopoulos term. 2020. ⟨hal-02447866⟩

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