Modular inflation at higher level<i>N</i>

Lynker, M.; Schimmrigk, Rolf

doi:10.1088/1475-7516/2019/06/036

Cited by 11 publications

(11 citation statements)

References 112 publications

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“…Indeed, the inflation driven by modulus field was studied in modular symmetric supergravity model [41]. Also, non-supersymmetric models using modular forms were studied in [42][43][44][45]. 2 In this paper, the stabilizer field is introduced in order to generate the scalar potential, which is assumed to be the singlet representation of Γ N but has the non-trivial weight.…”

Section: Inflation Rolling Into Other Vacuum 34 D Inflation Via Balan...mentioning

confidence: 99%

Moduli inflation from modular flavor symmetries

Abe¹,

Higaki²,

Kaneko³

et al. 2023

Preprint

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We study slow-roll inflation model controlled by the modular flavor symmetry. In the model, the modulus field plays a role of inflaton and the introduction of the stabilizer field coupled to a modular form in the superpotential produces the inflaton potential. In order to generate the flat direction for the slow-roll inflation, we consider the Kähler potential corrected by the modular form. It is noted that the modulus field perpendicular to the inflaton direction is stabilized during the inflation. The model is turns out to be consistent with the current observations and behaves similarly to the α-attractor models in some parameter spaces. The inflaton rolls down to the CP-symmetric vacuum at the end of inflation.

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Section: Inflation Rolling Into Other Vacuum 34 D Inflation Via Balan...mentioning

confidence: 99%

Moduli inflation from modular flavor symmetries

Abe¹,

Higaki²,

Kaneko³

et al. 2023

Preprint

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show abstract

“…This conjecture has been widely applied to cosmology like inflation and dark energy. For inflation, there are discussions on the inflation of single field [34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53], of multi-field [54][55][56][57][58][59][60][61][62][63], and with non-canonical kinetic term [64][65][66][67][68]. For dark energy, it is clearly seen that a cosmological constant is not compatible with the swampland conjecture, while a dynamical quintessence field is favored .…”

Section: Jcap09(2019)072mentioning

confidence: 99%

Hyperbolic field space and swampland conjecture for DBI scalar

Mizuno

Mukohyama

Zhang

2019

J. Cosmol. Astropart. Phys.

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We study a model of two scalar fields with a hyperbolic field space and show that it reduces to a single-field Dirac-Born-Infeld (DBI) model in the limit where the field space becomes infinitely curved. We apply the de Sitter swampland conjecture to the two-field model and take the same limit. It is shown that in the limit, all quantities appearing in the swampland conjecture remain well-defined within the single-field DBI model. Based on a consistency argument, we then speculate that the condition derived in this way can be considered as the de Sitter swampland conjecture for a DBI scalar field by its own. The condition differs from those proposed in the literature and only the one in the present paper passes the consistency argument. As a byproduct, we also point out that one of the inequalities in the swampland conjecture for a multi-field model with linear kinetic terms should involve the lowest mass squared for scalar perturbations and that this quantity can be significantly different from the lowest eigenvalue of the Hessian of the potential in the local orthonormal frame if the field space is highly curved. Finally, we propose an extension of the de Sitter swampland conjecture to a more general scalar field with the Lagrangian of the form P (X, ϕ), where X = −(∂ϕ) 2 /2.

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“…In twofield models with two energy scales this is the point where the iteration stops and if scaling exists in this second iteration there will be a single scaling exponent, obtained from the β(µ), that now can be used to characterize the model. In this paper we will apply the procedure just outlined to modular inflation models, in particular j-inflation [5,18,19] and h 2 -inflation [20]. These theories are characterized by energy scales (Λ, µ) and we will show that there exists a family of scaling exponents β(µ) which in turn lead to a further exponent.…”

Section: Introductionmentioning

confidence: 99%

Scaling behavior of observables as a model characteristic in multifield inflation

Lynker

Schimmrigk

2023

J. Cosmol. Astropart. Phys.

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One of the fundamental questions in inflation is how to characterize the structure of different types of models in the field theoretic landscape. Proposals in this direction include attempts to directly characterize the formal structure of the theory by considering complexity measures of the potentials. An alternative intrinsic approach is to focus on the behavior of the observables that result from different models and to ask whether their behavior differs among models. This type of analysis can be applied even to nontrivial multifield theories where a natural measure of the complexity of the model is not obvious and the analytical evaluation of the observables is often impossible. In such cases one may still compute these observables numerically and investigate their behavior. One interesting case is when observables show a scaling behavior, in which case theories can be characterized in terms of their scaling amplitudes and exponents. Generically, models have nontrivial parameter spaces, leading to exponents that are functions of these parameters. In such cases we consider an iterative procedure to determine whether the exponent functions in turn lead to a scaling behavior. We show that modular inflation models can be characterized by families of simple scaling laws and that the scaling exponents that arise in this way in turn show scaling in dependence of the varying energy scales.

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Modular inflation at higher levelN

Cited by 11 publications

References 112 publications

Moduli inflation from modular flavor symmetries

Moduli inflation from modular flavor symmetries

Hyperbolic field space and swampland conjecture for DBI scalar

Scaling behavior of observables as a model characteristic in multifield inflation

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