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

Ignatios Antoniadis (1) , Hongliang Jiang , Osmin Lacombe (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

We study the Dirac-Born-Infeld (DBI) action with one linear and one nonlinear 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 without FI term but with redefined tension, at least up to order of mass-dimension 12 effective interactions.

Mots clés: Extended Supersymmetry; Supersymmetry Breaking; Supersymmetric Effective Theories; Superspaces; supersymmetry: transformation; supersymmetry: deformation; Born-Infeld model: action; supersymmetry: nonlinear; spontaneous symmetry breaking; tension; D-term

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Ignatios Antoniadis, Hongliang Jiang, Osmin Lacombe. Note on supersymmetric Dirac-Born-Infeld action with Fayet-Iliopoulos term. Journal of High Energy Physics, 2020, 05, pp.111. ⟨10.1007/JHEP05(2020)111⟩. ⟨hal-02447866⟩