After reviewing the motivations for cosmological inflation formulated in the formalism of supersymmetry, we argue that the appropriate framework is that of no-scale supergravity. We then show how to construct within this framework inflationary models whose predictions for the tilt in the spectrum of scalar perturbations, [Formula: see text], and the ratio, [Formula: see text], of tensor and scalar perturbations coincide with those of the [Formula: see text] model of inflation proposed by Starobinsky. A more detailed study of no-scale supergravity reveals a structure that is closely related to that of [Formula: see text] modifications of the minimal Einstein–Hilbert action for general relativity, opening avenues for constructing no-scale de Sitter and anti-de Sitter models by combining pairs of Minkowski models, as well as generalizations of the original no-scale Starobinsky models of inflation. We then discuss the phenomenology of no-scale models of inflation, including inflaton decay and reheating, and then the construction of explicit scenarios based on SU(5), SO(10) and string-motivated flipped SU(5)×U(1) GUT models. The latter provides a possible model of almost everything below the Planck scale, including neutrino masses and oscillations, the cosmological baryon asymmetry and cold dark matter, as well as [Formula: see text] and [Formula: see text].

中文翻译：

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建立无尺度超重力暴胀模型

在回顾了在超对称形式中形成的宇宙膨胀的动机之后，我们认为合适的框架是无尺度超引力的框架。然后，我们展示了如何在这个框架内构建暴胀模型，其对标量扰动谱中倾斜的预测 [公式：见文本]，以及张量和标量扰动的比率 [公式：见文本] 与Starobinsky 提出的 [公式：见正文] 膨胀模型。对无尺度超引力的更详细研究揭示了一种与广义相对论的最小爱因斯坦-希尔伯特作用的[公式：见文本]修改密切相关的结构，为构建无尺度德西特和反德开辟了道路通过组合 Minkowski 模型对来建立模型，以及原始的无尺度 Starobinsky 暴胀模型的推广。然后我们讨论了无尺度暴胀模型的现象学，包括暴胀衰减和再加热，然后基于 SU(5)、SO(10) 和弦激励翻转 SU(5)×U(1) 构建显式场景) GUT 模型。后者提供了几乎所有普朗克尺度以下的可能模型，包括中微子质量和振荡、宇宙重子不对称和冷暗物质，以及[公式：见正文]和[公式：见正文]。