F(R) supergravity

Abstract

We review the F(R) supergravity recently proposed in Phys. Lett. B674 (2009) 59 and Class. Quantum Grav. 26 (2009) 135006. Our construction supersymmetrizes popular f(R) theories of modified gravity in four spacetime dimensions. We use curved superspace of N=1 Poincar'e supergravity in its minimal (2nd order) formulation so that our F(R) supergravity action is manifestly invariant under local N=1 supersymmetry. We prove that the F(R) supergravity is classically equivalent to the standard N=1 Poincar'e supergravity (minimally) coupled to a dynamical chiral superfield, via a Legendre-Weyl transform in superspace. A K"ahler potential, a superpotential and a scalar potential of the chiral superfield are governed by a single holomorphic function. We find the conditions of vanishing cosmological constant without fine-tuning, which define a no-scale F(R) supergravity.

10 pages; to appear in the Proceedings of International Conference `Invisible Universe', Paris, Palais de l'UNESCO, June 29 -July 3, 2009

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• Vacuum structure in a chiral R+R^n modification of pure supergravity
• Chaotic inflation in F(R) supergravity
• Cosmological properties of a generic (\cal R)^2-supergravity
• Starobinsky Model in N=2 Supergravity
• Generalized dilaton-axion models of inflation, de Sitter vacua and spontaneous SUSY breaking in supergravity
• General sGoldstino Inflation
• Towards a formulation of $f(R)$ supergravity
• Cosmology and Supergravity
• Deforming the Starobinsky model in ghost-free higher derivative supergravities
• Cosmological constant in F(R) supergravity
• New Actions for Modified Gravity and Supergravity
• ${\mathcal{R}}^2$ Supergravity