Scalar potential in F(R) supergravity
arXiv:0903.0251 · doi:10.1088/0264-9381/26/13/135006
Abstract
We derive a scalar potential in the recently proposed N=1 supersymmetric generalization of f(R) gravity in four space-time dimensions. Any such higher-derivative supergravity is classically equivalent to the standard N=1 supergravity coupled to a chiral (matter) superfield, via a Legendre-Weyl transform in superspace. The Kaehler potential, the superpotential and the scalar potential of that theory are all governed by a single holomorphic function. We also find the conditions for the vanishing cosmological constant and spontaneous supersymmetry breaking, without fine-tuning, which define a no-scale F(R) supergravity. The F(R) supergravities are suitable for physical applications in the inflationary cosmology based on supergravity and superstrings.
10 pages, LateX, no figures; section 4 extended
References in corpus (13)
- f(R) Theories Of Gravity
- de Sitter Vacua in String Theory
- Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
- A General Analytic Formula for the Spectral Index of the Density Perturbations produced during Inflation
- Flux Compactification
- Natural Chaotic Inflation in Supergravity
- Preserving Flat Directions During Inflation
- On Inflation in String Theory
- Why Auxiliary Fields Matter: The Strange Case of the 4D, N = 1 Supersymmetric QCD Effective Action
- Superstring-inspired supergravity as the universal source of inflation and quintessence
- Why Auxiliary Fields Matter: The Strange Case of the 4D, N = 1 Supersymmetric QCD Effective Action (II)
- 4D, N=1 Born-Infeld supergravity
- On the superstrings-induced four-dimensional gravity, and its applications to cosmology
Cited by in corpus (18)
- Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
- f(R) theories
- Supergravity based inflation models: a review
- Embedding (R+R^2)-Inflation into Supergravity
- Inflation and non-minimal scalar-curvature coupling in gravity and supergravity
- Modified Supergravity and Early Universe: the Meeting Point of Cosmology and High-Energy Physics
- Old-minimal supergravity models of inflation
- The coupling of Non-linear Supersymmetry to Supergravity
- Fourth-order gravity as the inflationary model revisited
- Seeking the Loop Quantum Gravity Barbero-Immirzi Parameter and Field in 4D, = 1 Supergravity
- Slow-roll inflation in (R+R*4) gravity
- Chaotic inflation in F(R) supergravity
- F(R) supergravity
- Topological inflation from the Starobinsky model in supergravity
- Cosmological properties of a generic (\cal R)^2-supergravity
- On the supersymmetrization of inflation in f(R) gravity
- Cosmological constant in F(R) supergravity
- Dark Energy in Modified Supergravity