$R^n$ Extension of Starobinsky Model in Old Minimal Supergravity

Abstract

We provide a succinct way to construct the supersymmetric completion of $R^n$ $(n\ge 3)$ in components using superconformal formulation of old minimal supergravity. As a consequence, we obtain the polynomial $f(R)$ supergravity extending the supersymmetric Starobinsky model to any higher power of $R$. The supersymmetric vacua in polynomial $f(R)$ supergravity are studied. We also present the $R^n$ extended Minimal Volkov-Akulov-Starobinsky Model.

18 pages, new section added on the dual model, typos fixed, references added, version appeared in CQG

References in corpus (5)

• BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
• The Minimal Volkov - Akulov - Starobinsky Supergravity
• Embedding (R+R^2)-Inflation into Supergravity
• The Imaginary Starobinsky Model
• Results from the Wilkinson Microwave Anisotropy Probe

Cited by in corpus (17)

• Static Spherically Symmetric Wormholes in $f(R,T)$ Gravity
• An anisotropic version of Tolman VII solution in $f(R,T)$ gravity via Gravitational Decoupling MGD Approach
• Existence of stable wormholes on a noncommutative-geometric background in modified gravity
• Keeping the relation between the Starobinsky model and no-scale supergravity ACTive
• Dynamical Analysis of Cylindrically Symmetric Anisotropic Sources in $f(R,T)$ Gravity
• Reinterpretation of the Starobinsky model
• Higher Derivative Supergravities in Diverse Dimensions
• Supersymmetry Breaking and Inflation from Higher Curvature Supergravity
• Dark Matter and Inflation in $R+\zeta R^2$ Supergravity
• Planck constraints on inflation in auxiliary vector modified $f(R)$ theories
• Impact of Extended Starobinsky Model on Evolution of Anisotropic, Vorticity-free Axially Symmetric Sources
• Dark Matter from Starobinsky Supergravity
• Rotating Strings in Six-Dimensional Higher-Derivative Supergravity
• Volkov-Akulov-Starobinsky supergravity revisited
• General $f(R)$ and conformal inflation from minimal supergravity plus matter
• Ghostbusters in $f(R)$ supergravity
• Gravity Rainbow Effects on Higher Curvature Modification of R2 inflation