More on DBI action in 4D $\mathcal{N}=1$ supergravity

Understand

We construct a Dirac-Born-Infeld (DBI) action coupled to a two-form field in four dimensional $\mathcal{N}=1$ supergravity.

• Our superconformal formulation of the action shows a universal way to construct it in various Poincar\'e supergravity formulations.
• We generalize the DBI action to that coupled to matter sector.
• We also discuss duality transformations of the DBI action, which are useful for phenomenological and cosmological applications.