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arXiv 1808.06404gr-qcastro-ph.HEhep-th
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弦阈值、动态高斯-博内耦合及斯特林斯基吸引子

String Thresholds, Dynamical Gauss--Bonnet Couplings, and Starobinsky Attractors

Istanbul Technical University（伊斯坦布尔技术大学）

Omer Guleryuz

备注：
29 pages, 1 figure and 3 tables. Substantial revision of the withdrawn earlier version; includes scalar--Gauss--Bonnet threshold matching and updated phenomenological benchmarks
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AI总结：

本文基于弦理论发展了动态高斯-博内完成的斯特林斯基膨胀模型，通过模形、稀释子或紧致化阈值的变化影响可观测参数，探讨了高斯-博内项与CMB观测量之间的不变匹配关系。

摘要：

我们发展了一种基于弦理论的动态高斯-博内完成的斯特林斯基膨胀模型。由于四维中的常数高斯-博内项是拓扑的，可观测效应必须来自在膨胀期间变化的模形、稀释子或紧致化阈值。我们将其系统表述为标量-高斯-博内有效理论，推导了修正后的平台与主导CMB观测量ns，r以及运行αs≡dn_s/dlnk之间的不变匹配，并施加了明确的弦和卡尔祖-克莱因截断限制。卡拉比-扬拓扑和弦阈值振幅仅作为阈值函数的微观先验使用；可观测变形仅在稳定、轨迹选择和单钟匹配后确定。在受控的重模 regime 中，正匹配变形提高了标量倾斜度，降低了张量信号，并使运行略微变负。一个代表性的X_24(1,1,2,8,12)例子说明了拓扑数据和有效阈值响应如何定义一个定量的紧致化目标，对于κ_G≈7–17的范围，同时强调这并非来自完全稳定的紧致化的直接预测。

英文摘要：

We develop a string-motivated dynamical Gauss--Bonnet completion of Starobinsky inflation. Since a constant Gauss--Bonnet term is topological in four dimensions, observable effects must arise from a modulus, dilaton, or compactification threshold whose value changes during inflation. We formulate the system as a scalar--Gauss--Bonnet effective theory, derive an invariant matching between the threshold-corrected plateau and the leading CMB observables $n_s$, $r$, and the running $α_s \equiv \mathrm d n_s / \mathrm d \ln k$, and impose explicit string and Kaluza--Klein cutoff bounds. Calabi--Yau topology and string threshold amplitudes are used only as microscopic priors for the threshold function; the observable deformation is fixed only after stabilization, trajectory selection, and single-clock matching. In the controlled heavy-modulus regime, a positive matched deformation raises the scalar tilt, lowers the tensor signal, and makes the running mildly less negative. A representative $X_{24}(1,1,2,8,12)$ example illustrates how topological data and an effective threshold response define a quantitative compactification target for the range $κ_G \simeq 7 \text{--} 17$, while emphasizing that this is not a direct prediction from a fully stabilized compactification.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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