Supergravity for Effective Theories

Abstract

Higher-derivative operators are central elements of any effective field theory. In supersymmetric theories, these operators include terms with derivatives in the Kähler potential. We develop a toolkit for coupling such supersymmetric effective field theories to supergravity. We explain how to write the action for minimal supergravity coupled to chiral superfields with arbitrary numbers of derivatives and curvature couplings. We discuss two examples in detail, showing how the component actions agree with the expectations from the linearized description in terms of a Ferrara-Zumino multiplet. In a companion paper, we apply the formalism to the effective theory of inflation.

26 pages

References in corpus (7)

• The Effective Field Theory of Inflation
• Effective Field Theory for Inflation
• Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies
• From Linear SUSY to Constrained Superfields
• Signatures of Supersymmetry from the Early Universe
• Supersymmetric Models with Higher Dimensional Operators
• Variant supercurrents and Noether procedure

Cited by in corpus (30)

• Beyond the Cosmological Standard Model
• Signatures of Supersymmetry from the Early Universe
• Effects and Detectability of Quasi-Single Field Inflation in the Large-Scale Structure and Cosmic Microwave Background
• (Small) Resonant non-Gaussianities: Signatures of a Discrete Shift Symmetry in the Effective Field Theory of Inflation
• Higher-Derivative Chiral Superfield Actions Coupled to N=1 Supergravity
• Effective field theory of weakly coupled inflationary models
• Emerging Potentials in Higher-Derivative Gauged Chiral Models Coupled to N=1 Supergravity
• A Field Range Bound for General Single-Field Inflation
• Cosmology with orthogonal nilpotent superfields
• The Ghost Condensate in N=1 Supergravity
• Can Effective Field Theory of inflation generate large tensor-to-scalar ratio within Randall Sundrum single braneworld?
• Combining Universal and Odd RR Axions for Aligned Natural Inflation
• The goldstone and goldstino of supersymmetric inflation
• Cosmic inflation in a landscape of heavy-fields
• Supersymmetric DBI inflation
• Higgs-otic Inflation and Moduli Stabilization
• A New Class of Four-Dimensional N=1 Supergravity with Non-minimal Derivative Couplings
• Scale invariance vs conformal invariance
• Anomaly Mediation from Unbroken Supergravity
• Testing Split Supersymmetry with Inflation
• Non-Canonical Inflation in Supergravity
• Dynamical breaking of shift-symmetry in supergravity-based inflation
• BPS bounds in supersymmetric extensions of K field theories
• Non-linear Realizations and Higher Curvature Supergravity
• DBI action of real linear superfield in 4D $\mathcal{N}=1$ conformal supergravity
• More on DBI action in 4D $\mathcal{N}=1$ supergravity
• Supergravitational Conformal Galileons
• Supersymmetric Dirac-Born-Infeld Axionic Inflation and Non-Gaussianity
• Light field integration in SUGRA theories
• $N=1$ Supergravitational Heterotic Galileons