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AdS通量真空中低能膜退耦

Low-energy brane decoupling in AdS flux vacua

Fien Apers, Noelia Sánchez González

arXiv 2609.17342首次发表:更新:

发表机构

Instituto de Física Teórica IFT-UAM/CSIC(理论物理研究所)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文通过标量波吸收概率证明,在AdS通量真空中,对于任意陡度和维度大于二,膜在低能极限下从体腔退耦,并在DGKT、AdS3和KKLT模型中验证了该结论。

AI 中文摘要

我们利用标量波吸收概率研究从渐近体腔中退耦的、产生AdS通量真空的膜。在单模截断中,结果仅取决于AdS真空的维度和标量势的渐近陡度。我们发现,对于任何陡度和任何大于二的维度,吸收概率在低能极限下消失,表明膜从体腔中退耦。我们在几个尺度分离的AdS真空中说明了这一一般分析。对于DGKT,我们发现$P_{\rm abs}\sim\omega^{27/7}$和有效横向维度$d_{\rm eff}=20/7$。有趣的是,沿膜诱导模轨迹的标量势与通过将假设的$(4+13/7)$维引力理论紧化在带有通量的$13/7$维球体上获得的势一致。我们还将该分析应用于尺度分离的$\mathrm{AdS}_3$例子和最简单的单模KKLT模型。

英文摘要

We study the decoupling of branes sourcing AdS flux vacua from the asymptotic bulk using scalar-wave absorption probabilities. In a one-modulus truncation, the result depends only on the dimension of the AdS vacuum and on the asymptotic steepness of the scalar potential. We find that for any steepness and for any dimension greater than two the absorption probability vanishes in the low-energy limit, showing that the branes decouple from the bulk. We illustrate the general analysis in several scale-separated AdS vacua. For DGKT we find $P_{\rm abs}\simω^{27/7}$ and an effective transverse dimension $d_{\rm eff}=20/7$. Interestingly, the scalar potential along the brane-induced moduli trajectory agrees with that obtained by compactifying a hypothetical $(4+13/7)$-dimensional gravity theory on a $13/7$-dimensional sphere threaded by flux. We also apply the analysis to scale-separated $\mathrm{AdS}_3$ examples and to the simplest one-modulus KKLT model.

Comments42 pages, 4 figures, 4 tables

论文原文

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