Higher-Derivative Chiral Superfield Actions Coupled to N=1 Supergravity

Abstract

We construct N=1 supergravity extensions of scalar field theories with higher-derivative kinetic terms. Special attention is paid to the auxiliary fields, whose elimination leads not only to corrections to the kinetic terms, but to new expressions for the potential energy as well. For example, a potential energy can be generated even in the absence of a superpotential. Our formalism allows one to write a supergravity extension of any higher-derivative scalar field theory and, therefore, has applications to both particle physics and cosmological model building. As an illustration, we couple the higher-derivative DBI action describing a 3-brane in 6-dimensions to N=1 supergravity. This displays a number of new features-- including the fact that, in the regime where the higher-derivative kinetic terms become important, the potential tends to be everywhere negative.

37 pages, v2: references added

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Cited by in corpus (21)

• Cosmological Perturbations Through a Non-Singular Ghost-Condensate/Galileon Bounce
• Emerging Potentials in Higher-Derivative Gauged Chiral Models Coupled to N=1 Supergravity
• The Ghost Condensate in N=1 Supergravity
• BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
• Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
• Higgs-otic Inflation and Moduli Stabilization
• Higher Derivative Corrections to Manifestly Supersymmetric Nonlinear Realizations
• Topological inflation from the Starobinsky model in supergravity
• DBI Inflation in N=1 Supergravity
• Inflation in supergravity without Kahler potential
• Supersymmetry Breaking in Spatially Modulated Vacua
• Ghost-free vector superfield actions in supersymmetric higher-derivative theories
• Complex Linear Effective Theory and Supersymmetry Breaking Vacua
• Higher-Derivative Supergravity and Moduli Stabilization
• More on DBI action in 4D $\mathcal{N}=1$ supergravity
• Higher Derivative Supersymmetric Nonlinear Sigma Models on Hermitian Symmetric Spaces, and BPS States Therein
• Aether SUSY breaking: Can aether be alternative to F-term SUSY breaking?
• Effective operators in SUSY, superfield constraints and searches for a UV completion
• Complex Linear Multiplets and Local Supersymmetry Breaking
• Aspects of the new Fayet-Iliopoulos terms
• On the Vacuum Structure of the $\mathcal{N}=4$ Conformal Supergravity