TY - JOUR
T1 - Scalar potential in F (R) supergravity
AU - Ketov, Sergei V.
PY - 2009
Y1 - 2009
N2 - We derive a scalar potential in the recently proposed N = 1 supersymmetric generalization of f(R) gravity in four spacetime 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 Kähler 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.
AB - We derive a scalar potential in the recently proposed N = 1 supersymmetric generalization of f(R) gravity in four spacetime 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 Kähler 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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U2 - 10.1088/0264-9381/26/13/135006
DO - 10.1088/0264-9381/26/13/135006
M3 - Article
AN - SCOPUS:67649713883
VL - 26
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
SN - 0264-9381
IS - 13
M1 - 135006
ER -