Elliptic inflation: interpolating from natural inflation to R2-inflation

被引：38

作者：

Higaki, Tetsutaro ^{[1
]}

Takahashi, Fuminobu ^{[2
,3
]}

机构：

[1] KEK, Ctr Theory, Tsukuba, Ibaraki 3050801, Japan

[2] Tohoku Univ, Dept Phys, Sendai, Miyagi 9808578, Japan

[3] Univ Tokyo, Todai Inst Adv Study, Kavli Inst Phys & Math Universe WPI, Kashiwa, Chiba 2778583, Japan

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2015年 / 03期

关键词：

Cosmology of Theories beyond the SM; Supergravity Models; Superstring Vacua; DYNAMICAL SUPERSYMMETRY BREAKING; CHAOTIC INFLATION; SUPERGRAVITY; UNIVERSE; DUALITY; FLATNESS; HORIZON;

D O I：

10.1007/JHEP03(2015)129

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We propose an extension of natural inflation, where the inflaton potential is a general periodic function. Specifically, we study elliptic inflation where the inflaton potential is given by Jacobi elliptic functions, Jacobi theta functions or the Dedekind eta function, which appear in gauge and Yukawa couplings in the string theories compactified on toroidal backgrounds. We show that in the first two cases the predicted values of the spectral index and the tensor-to-scalar ratio interpolate from natural inflation to exponential inflation such as R-2- and Higgs inflation and brane inflation, where the spectral index asymptotes to n(s) = 1 - 2/N similar or equal to 0.967 for the e-folding number N = 60. We also show that a model with the Dedekind eta function gives a sizable running of the spectral index due to modulations in the inflaton potential. Such elliptic inflation can be thought of as a specific realization of multi-natural inflation, where the inflaton potential consists of multiple sinusoidal functions. We also discuss examples in string theory where Jacobi theta functions and the Dedekind eta function appear in the inflaton potential.

引用

页数：25

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