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2013
DOI: 10.1007/jhep07(2013)127
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New actions for modified gravity and supergravity

Abstract: We extend the f (R) gravity action by including a generic dependence upon the Weyl tensor, and further generalize it to supergravity by using the super-curvature (R) and super-Weyl (W) chiral superfields in N = 1 chiral curved superspace. We argue that our (super)gravitational actions are the meaningful extensions of the phenomenological f (R) gravity and its locally supersymmetric generalization towards their UV completion and their embedding into superstring theories. The proposed actions can be used for stu… Show more

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Cited by 9 publications
(6 citation statements)
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References 55 publications
(94 reference statements)
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“…In this review paper we focus on a field-theoretical description of the inflationary phase of early universe and its post-inflationary dynamics (pre-heating and re-heating) in the context of modified supergravity proposed and studied in Refs. [3,4,5,6,7,8,9,10,11,12,13,14,15,16]. Cosmological inflation (a phase of 'rapid' quasi-exponential accelerated expansion of universe) [17,18,19,20,21] predicts homogeneity of our universe at large scales, its spatial flatness, large size and entropy, and the almost scale-invariant spectrum of cosmological perturbations, in good agreement with the ongoing WMAP and PLANCK measurements of the CMB radiation spectrum [22,23,24].…”
Section: Introductionsupporting
confidence: 62%
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“…In this review paper we focus on a field-theoretical description of the inflationary phase of early universe and its post-inflationary dynamics (pre-heating and re-heating) in the context of modified supergravity proposed and studied in Refs. [3,4,5,6,7,8,9,10,11,12,13,14,15,16]. Cosmological inflation (a phase of 'rapid' quasi-exponential accelerated expansion of universe) [17,18,19,20,21] predicts homogeneity of our universe at large scales, its spatial flatness, large size and entropy, and the almost scale-invariant spectrum of cosmological perturbations, in good agreement with the ongoing WMAP and PLANCK measurements of the CMB radiation spectrum [22,23,24].…”
Section: Introductionsupporting
confidence: 62%
“…where W αβγ is the N = 1 covariantly-chiral Weyl superfield of the N = 1 superspace supergravity [16]. In Superstring Theory the Weyl-tensor-dependence of the perturbative gravitational effective action is unambigously determined by the superstring scattering amplitudes or by the super-Weyl invariance of the corresponding non-linear sigma-model (see eg., ref.…”
Section: F (R) Supergravity In Superspacementioning
confidence: 99%
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“…So, if the constraint was an exact result, the effective vacuum energy density of the SUGRA model would correspond to the R 2 → 144 H 2 terms in (21) with (24) playing the rôle of the effective gravitational constant, where we used (22), (26). The form (37) constitutes an admissible class of RV models (cf.…”
Section: Applying the "Running Vacuum" Scenario To The Dynamically Brmentioning
confidence: 99%
“…[43] and developed, e.g., in refs. [44][45][46][47] and its cosmological application was considered in refs. [48,49], but actually D-term action is required to realize Starobinsky inflation [42,[50][51][52][53].…”
Section: Jhep02(2015)105mentioning
confidence: 99%