Matter coupled Dirac-Born-Infeld action in 4-dimensional N=1 conformal supergravity

TL;DR

This paper develops a Dirac-Born-Infeld action within N=1 conformal supergravity, incorporating matter couplings and addressing ghost mode issues via the Volkov-Akulov constraint.

Contribution

It introduces a new formulation of the Dirac-Born-Infeld action in supergravity with matter, ensuring ghost-free higher derivative terms.

Findings

Constructed the DBI action in N=1 conformal supergravity

Analyzed matter couplings and derived the modified D-term potential

Ensured absence of ghost modes through Volkov-Akulov constraint

Abstract

We construct the Dirac-Born-Infeld action in the context of N=1 conformal supergravity and its possible extensions including matter couplings. We especially focus on the Volkov-Akulov constraint, which is important to avoid ghost modes from the higher derivative terms. In the case with matter couplings, we find the modified D-term potential.