Integrable Scalar Cosmologies I. Foundations and links with String Theory

Fré, Pietro; Sagnotti, A.; Sorin, A. S.

doi:10.1016/j.nuclphysb.2013.10.015

Cited by 75 publications

(178 citation statements)

References 105 publications

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“…The most popular integrable cosmological model is the model with a minimally coupled scalar field and a self-interaction exponential potential [33,34]. In [35], the general classification of integrable cosmological models based on scalar fields was suggested and studied in great detail. Integrable models with nonminimally coupled scalar fields have been found in [22].…”

Section: Introductionmentioning

confidence: 99%

Global stability analysis for cosmological models with nonminimally coupled scalar fields

Skugoreva

Toporensky²,

Vernov

2014

Phys. Rev. D

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We explore dynamics of cosmological models with a nonminimally coupled scalar field evolving on a spatially flat Friedmann-Lemaître-Robertson-Walker background. We consider cosmological models including the Hilbert-Einstein curvature term and the N degree monomial of the scalar field nonminimally coupled to gravity. The potential of the scalar field is the n degree monomial or polynomial. We describe several qualitatively different types of dynamics depending on values of power indices N and n. We identify that three main possible pictures correspond to n < N , N < n < 2N and n > 2N cases. Some special features connected with the important cases of N = n (including the quadratic potential with quadratic coupling) and n = 2N (which shares its asymptotics with the potential of the Higgs-driven inflation) are described separately. A global qualitative analysis allows us to cover the most interesting cases of small N and n by a limiting number of phase-space diagrams. The influence of the cosmological constant to the global features of dynamics is also studied.

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Section: Introductionmentioning

confidence: 99%

Global stability analysis for cosmological models with nonminimally coupled scalar fields

Skugoreva

Toporensky²,

Vernov

2014

Phys. Rev. D

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“…The nature of the transition at γ = 1 and the analogy with a Newtonian particle in a viscous medium were reviewed in [26,27], and more recently in [28]. Here I shall only mention, in passing, some intriguing facts, drawn largely from [17]:…”

Section: Climbing Scalars In Briefmentioning

confidence: 99%

“…• if Φ s is somehow stabilized, a space-time filling p-brane that couples to the dilaton, in the string frame, proportionally to e − α φ , contributes in four dimensions an exponential potential [26,27] V ∼ e 2 γ ϕ ,…”

Section: Climbing Scalars In Briefmentioning

confidence: 99%

“…In order to minimize the overlap with some preceding reviews, I shall begin in Section 2 with a quick discussion of the climbing phenomenon, illustrating it also with reference to a simple analytic model introduced in [26]. In Section 3 I shall describe some simple inflationary models combining these features and corresponding χ 2 tests related to first 30 multipoles.…”

Section: Introductionmentioning

confidence: 99%

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Low-ℓ CMB from string-scale SUSY breaking?

Sagnotti

2016

Mod. Phys. Lett. A

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Models of inflation are instructive playgrounds for supersymmetry breaking in Supergravity and String Theory. In particular, combinations of branes and orientifolds that are not mutually BPS can lead to brane supersymmetry breaking, a phenomenon where non-linear realizations are accompanied, in tachyon-free vacua, by the emergence of steep exponential potentials. When combined with milder terms, these exponentials can lead to slow-roll after a fast ascent and a turning point. This leaves behind distinctive patterns of scalar perturbations, where pre-inflationary peaks can lie well apart from an almost scale invariant profile. I review recent attempts to connect these power spectra to the low-ℓ CMB, and a corresponding one-parameter extension of ΛCDM with a low-frequency cut ∆. A detailed likelihood analysis led to ∆ = (0.351 ± 0.114) × 10 −3 Mpc −1 , at 99.4% confidence level, in an extended Galactic mask with f sky = 39%, to be compared with a nearby value at 88.5% in the standard Planck 2015 mask with f sky = 94%. In these scenarios one would be confronted, in the CMB, with relics of an epoch of deceleration that preceded the onset of slow-roll.

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“…A separate investigation was also devoted to determine a list of one field integrable potentials [28] and to discuss their possible inclusion into N = 1 supergravity by means of suitable superpotentials [29]. It was shown that such type of inclusion is quite difficult and can be realized only in very few cases [29].…”

Section: Introductionmentioning

confidence: 99%

Thec-map, Tits Satake subalgebras and the search for N=2 inflaton potentials

2015

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In this paper we address the general problem of including inflationary models exhibiting Starobinskylike potentials into (symmetric) N = 2 supergravities. This is done by gauging suitable abelian isometries of the hypermultiplet sector and then truncating the resulting theory to a single scalar field. By using the characteristic properties of the global symmetry groups of the N = 2 supergravities we are able to make a general statement on the possible α-attractor models which can obtained upon truncation. We find that in symmetric N = 2 models group theoretical constraints restrict the allowed values of the parameter α to be α = 1, 2 3 , 1 3 . This confirms and generalizes results recently obtained in the literature. Our analysis heavily relies on the mathematical structure of symmetric N = 2 supergravities, in particular on the so called c-map connection between Quaternionic Kähler manifolds starting from Special Kähler ones. A general statement on the possible consistent truncations of the gauged models, leading to Starobinsky-like potentials, requires the essential help of Tits Satake universality classes. The paper is mathematically selfcontained and aims at presenting the involved mathematical structures to a public not only of physicists but also of mathematicians. To this end the main mathematical structures and the general gauging procedure of N = 2 supergravities is reviewed in some detail.

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Integrable Scalar Cosmologies I. Foundations and links with String Theory

Cited by 75 publications

References 105 publications

Global stability analysis for cosmological models with nonminimally coupled scalar fields

Global stability analysis for cosmological models with nonminimally coupled scalar fields

Low-ℓ CMB from string-scale SUSY breaking?

Thec-map, Tits Satake subalgebras and the search for N=2 inflaton potentials

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