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

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.

9 pages, v2: section 5.1 added, v3: references added

References in corpus (8)

• Cosmology with Nilpotent Superfields
• The Minimal Volkov - Akulov - Starobinsky Supergravity
• $\overline{D3}$ and dS
• Emergence of Spontaneously Broken Supersymmetry on an Anti-D3-Brane in KKLT dS Vacua
• On sgoldstino-less supergravity models of inflation
• Inflation, de Sitter Landscape and Super-Higgs effect
• Inflation in supergravity without Kahler potential
• Massive vector multiplet inflation with Dirac-Born-Infeld type action

Cited by in corpus (7)

• Ghost-free vector superfield actions in supersymmetric higher-derivative theories
• Massive vector multiplet inflation with Dirac-Born-Infeld type action
• Polonyi-Starobinsky supergravity with inflaton in a massive vector multiplet with DBI and FI terms
• DBI action of real linear superfield in 4D $\mathcal{N}=1$ conformal supergravity
• Ghostbusters in $f(R)$ supergravity
• The DBI Action, Higher-derivative Supergravity, and Flattening Inflaton Potentials
• More on DBI action in 4D $\mathcal{N}=1$ supergravity