DBI action of real linear superfield in 4D ${\cal N}=1$ conformal supergravity

TL;DR

This paper constructs the Dirac-Born-Infeld (DBI) action for a real linear multiplet within 4D $ ext{N}=1$ supergravity, demonstrating its realization in the new minimal supergravity framework and extending it to matter-coupled systems.

Contribution

It provides the first explicit construction of the DBI action for a real linear superfield in 4D $ ext{N}=1$ supergravity, including matter coupling.

Findings

DBI action constructed for real linear multiplet in 4D $ ext{N}=1$ supergravity.

Realization of the DBI action in the new minimal supergravity framework.

Extension of the DBI action to matter-coupled systems.

Abstract

We construct the Dirac-Born-Infeld (DBI) action of a real linear multiplet in 4D $\mathcal{N}=1$ supergravity. Based on conformal supergravity, we derive the general condition under which the DBI action can be realized, and show that it can be constructed in the new minimal supergravity. We also generalize it to the matter coupled system.