English

Scalar potential in F(R) supergravity

High Energy Physics - Theory 2009-06-25 v2 General Relativity and Quantum Cosmology

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.

Keywords

Cite

@article{arxiv.0903.0251,
  title  = {Scalar potential in F(R) supergravity},
  author = {Sergei V. Ketov},
  journal= {arXiv preprint arXiv:0903.0251},
  year   = {2009}
}

Comments

10 pages, LateX, no figures; section 4 extended

R2 v1 2026-06-21T12:17:14.826Z