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纤维暴胀：来自IIB弦紧化的可观测重力波

Fibre Inflation: Observable Gravity Waves from IIB String Compactifications

M. Cicoli, C. P. Burgess, F. Quevedo

备注：
Extended calculations beyond the leading approximations, including numerical integrations of multi-field evolution; Display an example with $r = 0.01$; Simplify the discussion of large fields; Corrected minor errors and typos; Added references; 41 pages LaTeX, 25 figures
发表信息：
JCAP 0903:013,2009
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摘要：

我们引入了一个简单的暴胀弦模型，其中暴胀子场可以采取trans-Planckian值，同时驱动一段时间的慢卷暴胀。这自然导致了大场暴胀的实现，因为暴胀时期可以用单场标量势$V = V_0 (3-4 e^{-\hatφ/\sqrt{3}})$很好地描述。值得注意的是，对于大类真空，所有可调参数仅通过总系数$V_0$进入，特别是不进入慢滚参数。因此，它们完全由\e折叠的数目$N_e$决定，因此不是独立的：$\varepsilon \simeq \frac32 η^2$ .这意味着原始标量-张量振幅$r$和标量光谱倾斜$n_s$：$r \simeq 6(n_s - 1)^2$等观测量之间存在类似的关系。$N_e$本身更依赖于模型，因为它部分取决于后通货膨胀再热的历史。在一个简单的再加热方案中，再加热温度为$T_{rh}\simeq 10^{9}$ GeV时，$N_e\simeq 58$对应于$n_s\simeq 0.970$和$r\simeq 0.005$，在未来观测的范围内。该模型是一个例子，一类自然产生的背景下，IIB型字符串紧化与大体积模量稳定，并利用通用存在的卡勒模量，其主要外观在标量潜在的产生串循环校正卡勒潜力。暴胀子场是K3纤维卡-丘流形的Kahler模的组合。我们相信，在这一类模型中可能有大量的模型--“高纤维模型”--其中暴胀子在纤维中足够远的地方开始产生可观测到的大的原始重力波。

英文摘要：

We introduce a simple string model of inflation, in which the inflaton field can take trans-Planckian values while driving a period of slow-roll inflation. This leads naturally to a realisation of large field inflation, inasmuch as the inflationary epoch is well described by the single-field scalar potential $V = V_0 (3-4 e^{-\hatφ/\sqrt{3}})$. Remarkably, for a broad class of vacua all adjustable parameters enter only through the overall coefficient $V_0$, and in particular do not enter into the slow-roll parameters. Consequently these are determined purely by the number of \e-foldings, $N_e$, and so are not independent: $\varepsilon \simeq \frac32 η^2$. This implies similar relations among observables like the primordial scalar-to-tensor amplitude, $r$, and the scalar spectral tilt, $n_s$: $r \simeq 6(n_s - 1)^2$. $N_e$ is itself more model-dependent since it depends partly on the post-inflationary reheat history. In a simple reheating scenario a reheating temperature of $T_{rh}\simeq 10^{9}$ GeV gives $N_e\simeq 58$, corresponding to $n_s\simeq 0.970$ and $r\simeq 0.005$, within reach of future observations. The model is an example of a class that arises naturally in the context of type IIB string compactifications with large-volume moduli stabilisation, and takes advantage of the generic existence there of Kahler moduli whose dominant appearance in the scalar potential arises from string loop corrections to the Kahler potential. The inflaton field is a combination of Kahler moduli of a K3-fibered Calabi-Yau manifold. We believe there are likely to be a great number of models in this class -- `high-fibre models' -- in which the inflaton starts off far enough up the fibre to produce observably large primordial gravity waves.

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