# Scalar potential in supergravity

@article{Ketov2009ScalarPI, title={Scalar potential in supergravity}, author={Sergei V. Ketov}, journal={Classical and Quantum Gravity}, year={2009}, volume={26}, pages={135006} }

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…

## 15 Citations

### F(R) SUPERGRAVITY

- Physics
- 2010

We review the F(R) supergravity recently proposed in Phys. Lett. B674(2009)59 and Class. and Quantum Grav. 26(2009)135006. Our construction supersymmetrizes popular f(R) theories of modified gravity…

### On the supersymmetrization of inflation in f (R) gravity

- Physics
- 2013

An N=1 Poincare supergravity action, suitable for describing the Starobinsky in- flation, is proposed. It extends f(R) gravity to supergravity in its old-minimal ver- sion. The action is parametrized…

### Cosmological properties of a generic ℛ2-supergravity

- Physics
- 2011

We investigate in detail the structure of the simplest non-trivial F()-supergravity model, whose F-function is given by a generic quadratic polynomial in terms of the scalar supercurvature . This…

### Inflation and nonminimal scalar-curvature coupling in gravity and supergravity

- Physics
- 2012

Inflationary slow-roll dynamics in Einstein gravity with a nonminimal scalar-curvature coupling can be equivalent to that in the certain f(R) gravity theory. We review the correspondence and extend…

### DARK ENERGY IN MODIFIED SUPERGRAVITY

- Physics
- 2012

We propose a supersymmetric extension of the dynamical dark energy function and the scalar (super)potential in $F(\mathcal{R})$ supergravity. Our model is viable in the Einstein approximation, and…

### Old-minimal supergravity models of inflation

- Physics
- 2013

A bstractWe study three types of the old-minimal higher-derivative supergravity theories extending the f (R) gravity, towards their use for the inflationary model building in supergravity, by using…

### The coupling of non-linear supersymmetry to supergravity

- Physics
- 2015

We study the coupling of non-linear supersymmetry to supergravity. The goldstino nilpotent superfield of global supersymmetry coupled to supergravity is described by a geometric action of the chiral…

### Nonlinear supersymmetry, spontaneous supersymmetry breaking and extra dimensions

- Physics
- 2018

The subject matter of the present thesis is the partial breaking of N=2 supersymmetry in four and in five spacetime dimensions. In the first case, we study the off-shell nonlinear realization of the…

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