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
“…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%
“…All real roots of eq. (16.13) are given by 16) in terms of the Cardano-Viète parameters 16.17) and the angle ϑ defined by…”
Section: Cosmological Constant In F (R) Supergravitymentioning
We review the new theory of modified supergravity, dubbed the F (R) supergravity, and some of its recent applications to inflation and reheating in the early universe cosmology. The F (R) supergravity is the N = 1 locally supersymmetric extension of the f (R) gravity in four space-time dimensions. A manifestly supersymmetric formulation of the F (R) supergravity exist in terms of N = 1 superfields, by using the (old) minimal Poincaré supergravity in curved superspace. We find the conditions for stability, the absence of ghosts and tachyons. Three models of the F (R) supergravity are studied. The first example is devoted to a recovery of the standard (pure) N = 1 supergravity with a negative cosmological constant from the F (R) supergravity. As the second example, a generic R 2 supergravity is investigated, and the existence of the AdS bound on the scalar curvature is found. As the third (and most important) example, a simple viable realization of chaotic inflation in supergravity is found. Our approach is minimalistic since it does not introduce new exotic fields or new interactions, beyond those already present in (super)gravity. The universal reheating mechanism is automatic. We establish the consistency of our approach and also apply it to preheating and reheating after inflation. The Higgs inflation and its correspondence to the Starobinsky inflation are established in the context of supergravity. We briefly review other relevant issues such as non-Gaussianity, CP -violation, origin of baryonic asymmetry, lepto-and baryo-genesis. The F (R) supergravity has promise for possible solutions to those outstanding problems too.
“…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%
“…All real roots of eq. (16.13) are given by 16) in terms of the Cardano-Viète parameters 16.17) and the angle ϑ defined by…”
Section: Cosmological Constant In F (R) Supergravitymentioning
We review the new theory of modified supergravity, dubbed the F (R) supergravity, and some of its recent applications to inflation and reheating in the early universe cosmology. The F (R) supergravity is the N = 1 locally supersymmetric extension of the f (R) gravity in four space-time dimensions. A manifestly supersymmetric formulation of the F (R) supergravity exist in terms of N = 1 superfields, by using the (old) minimal Poincaré supergravity in curved superspace. We find the conditions for stability, the absence of ghosts and tachyons. Three models of the F (R) supergravity are studied. The first example is devoted to a recovery of the standard (pure) N = 1 supergravity with a negative cosmological constant from the F (R) supergravity. As the second example, a generic R 2 supergravity is investigated, and the existence of the AdS bound on the scalar curvature is found. As the third (and most important) example, a simple viable realization of chaotic inflation in supergravity is found. Our approach is minimalistic since it does not introduce new exotic fields or new interactions, beyond those already present in (super)gravity. The universal reheating mechanism is automatic. We establish the consistency of our approach and also apply it to preheating and reheating after inflation. The Higgs inflation and its correspondence to the Starobinsky inflation are established in the context of supergravity. We briefly review other relevant issues such as non-Gaussianity, CP -violation, origin of baryonic asymmetry, lepto-and baryo-genesis. The F (R) supergravity has promise for possible solutions to those outstanding problems too.
“…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
Abstract. On the occasion of a century from the proposal of General relativity by Einstein, I attempt to tackle some open issues in modern cosmology, via a toy but non-trivial model. Specifically, I would like to link together: (i) the smallness of the cosmological constant today, (ii) the evolution of the universe from an inflationary era after the bigbang till now, and (iii) local supersymmetry in the gravitational sector (supergravity) with a broken spectrum at early eras, by making use of the concept of the "running vacuum" in the context of a simple toy model of four-dimensional N=1 supergravity. The model is characterised by dynamically broken local supersymmetry, induced by the formation of gravitino condensates in the early universe. As I will argue, there is a Starobinsky-type inflationary era characterising the broken supersymmetry phase in this model, which is compatible with the current cosmological data, provided a given constraint is satisfied among some tree-level parameters of the model and the renormalised cosmological constant of the de Sitter background used in the analysis. Applying the "running vacuum" concept, then, to the effective field theory at the exit of inflation, makes a smooth connection (in cosmic time) with the radiation dominance epoch and subsequently with the current era of the Universe, characterised by a small (but dominant) cosmological-constant contribution to the cosmic energy density. In this approach, the smallness of the cosmological constant today is attributed to the failure (due to quantum gravity non-perturbative effects) of the aforementioned constraint.
“…[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].…”
We study reheating processes and its cosmological consequences in the Starobinsky model embedded in the old-minimal supergravity. First, we consider minimal coupling between the gravity and matter sectors in the higher curvature theory, and transform it to the equivalent standard supergravity coupled to additional matter superfields. We then discuss characteristic decay modes of the inflaton and the reheating temperature T R . Considering a simple model of supersymmetry breaking sector, we estimate gravitino abundance from inflaton decay, and obtain limits on the masses of gravitino and supersymmetry breaking field. We find T R ≃ 1.0 × 10 9 GeV and the allowed range of gravitino mass as 10 4 GeV m 3/2 10 5 GeV, assuming anomaly-induced decay into the gauge sector as the dominant decay channel.
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