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

TL;DR

This paper constructs a supergravity-compatible Dirac-Born-Infeld (DBI) action coupled to a two-form field, generalizes it to matter sectors, and explores dualities relevant for cosmology and phenomenology.

Contribution

It provides a universal superconformal formulation of the DBI action in 4D $ abla=1$ supergravity and extends it to matter couplings and duality transformations.

Findings

Universal superconformal formulation of DBI in 4D supergravity

Extension of DBI to matter sectors

Analysis of duality transformations for phenomenological applications

Abstract

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.