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arXiv · 0903.0251

Scalar potential in F(R) supergravity

Sergei V. Ketov
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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.

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Sergei V. Ketov. 2009-03-05. Scalar potential in F(R) supergravity. https://doi.org/10.1088/0264-9381%2F26%2F13%2F135006

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