Abstract
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.
Highlights
Non-linear supersymmetry is not manifest [3]
The linear supersymmetry appears to be spontaneously broken since the D auxiliary field gets a nonvanishing 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
We have studied the on-shell SDBI action implemented with either a standard FI term or an induced FI term through a γ supersymmetry deformation in the presence of a θ-angle
Summary
The goal of this section is to compute the physical on-shell Lagrangian of the SDBI model with a standard Fayet-Iliopoulos term, which will be referred to as SDBI+FI Lagrangian in the following. The resulting SDBI action possesses a manifest N = 1 linear supersymmetry as well as a hidden non-linear N = 1 supersymmetry. Here, we will use the SDBI+FI action expressed in the nonlinear formalism, where the complete action can be written explicitly in terms of variables appropriate for the non-linear supersymmetry but at the cost of losing manifest invariance under linear supersymmetry [7]. All equalities are written up to total derivatives, or terms with mass dimension higher than 12, or (λ∂λ)2F 2 terms.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
