arXiv 0802.31602008-02-21hep-thastro-phhep-ph

模暴胀模型及其唯象后果

Models of Modular Inflation and Their Phenomenological Consequences

Ido Ben-Dayan, Ram Brustein, Senarath P. de Alwis

备注：: 35 pages, 1 figure
发表信息：: JCAP 0807:011,2008
DOI：: 10.1088/1475-7516/2008/07/011

摘要：

我们研究模型的模块膨胀的形式，预计将产生从超弦理论的低能量有效的行动。我们认为，在一般的理由，最有可能的模块慢卷暴胀模型是小场模型中的暴胀子移动普朗克距离的极值的潜力。然后，我们专注于模型中的暴胀子是一个单一的（复杂的）手征超场的玻色子组成部分，并解释了一般的困难，在设计小场模型的模块化通货膨胀。然后，我们表明，如果Kaehler势（KP）的暴胀子是对数的微扰弦论，那么它是不可能满足慢滚条件的任何超势。我们发现，如果对KP的修正足够大，使得它可以近似为极值附近的规范KP，那么可行的慢卷通货膨胀是可能的。在这种情况下，必须将几个参数调整到百分之几。本文给出了KP正则时小场暴胀超引力模型的设计方法，并由超势参数计算了慢滚参数。我们的研究结果加强的情况下，在模型中的模量缓慢滚动普朗克距离从一个相对较高的规模极值，位于附近的中心区域的模空间单位。这一类的通用模型预测红色光谱的标量扰动和可忽略的光谱指数运行。他们还预测了一个特征抑制张量扰动，尽管高尺度的通货膨胀。因此，在可预见的未来，在宇宙微波背景观测中运行的原始张量各向异性或光谱指数的检测将排除这整个类别的模块膨胀模型。

英文摘要：

We study models of modular inflation of the form expected to arise from low energy effective actions of superstring theories. We argue on general grounds that the most likely models of modular slow-roll inflation are small field models in which the inflaton moves about a Planck distance from an extremum of the potential. We then focus on models in which the inflaton is the bosonic component of a single (complex) chiral superfield and explain the generic difficulties in designing small field models of modular inflation. We then show that if the Kaehler potential (KP) of the inflaton is logarithmic as in perturbative string theories, then it is not possible to satisfy the slow-roll conditions for any superpotential. We find that if the corrections to the KP are large enough so it can be approximated by a canonical KP in the vicinity of the extremum, then viable slow-roll inflation is possible. In this case, several parameters have to be tuned to a fraction of a percent. We give a prescription for designing successful small field supergravity models of inflation when the KP is canonical and calculate the slow-roll parameters from the superpotential parameters. Our results strengthen the case for models in which the moduli slowly roll about a Planck distance from a relatively high scale extremum that is located in the vicinity of the central region of moduli space units. Generic models of this class predict a red spectrum of scalar perturbations and negligible spectral index running. They also predict a characteristic suppression of tensor perturbations despite the high scale of inflation. Consequently, a detection of primordial tensor anisotropies or spectral index running in cosmic microwave background observations in the foreseeable future will rule out this entire class of modular inflation models.

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