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

摘要

We construct the Dirac-Born-Infeld (DBI) action of a real linear multiplet in4D $\mathcal{N}=1$ supergravity. Based on conformal supergravity, we derive thegeneral condition under which the DBI action can be realized, and show that itcan be constructed in the new minimal supergravity. We also generalize it tothe matter coupled system.