The web of swampland conjectures and the TCC bound

The web of swampland conjectures and the TCC bound
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沼泽猜想之网和 TCC 界限

DOI:
10.1007/jhep07(2020)162
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发表时间:
2020
影响因子:
5.4
通讯作者:
David Erkinger
David Erkinger
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
D. Andriot;N. Cribiori;David Erkinger

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我们考虑了一阶参数λ和c的SWAMPLAND距离和De Sitter猜想.受最近的跨普朗克审查猜想的启发,我们提出了距离猜想的一个推广,它将λ限定为c的TCC界的一半,即λ≥1223\DocumentCLASS[12pt]{Minimum}\Usepackage{amsmath}\Usepackage{wa ysym}\Usepackage{amsFonts}\Usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlong{\oddsidemargin}{-69pt}\Begin{Document}$\lambda\ge\frac{1}{2}\SQrt{\frac{2}{3}}$\end{Document}。此外,我们提出了两个猜想之间的对应关系,将一侧的塔质量m与另一侧的标量1势V示意性地关联为m∼V12\DocumentClass[12pt]{Minimum}\usepackage{amsath}\usepackage{waysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{matrsfs}\usepackage{upgreek}\setlong{\oddsidemargin}{-69pt}\Begin{Document}$m\sim{\Left|V\Right|^{\Frac{1}{2}}$\{Document},在很大的距离限制下。这些建议是对标量弱引力猜想的推广,并得到了各种例子的支持。λ的下界在许多情况下已在文献中得到了明确的验证。文中还对C上的TCC界进行了检验,得到了10个不同的禁止定理,并对V的渐近极限进行了分析。特别地,我们得到了关于第II类紧致作用的4D标量势的新结果。
We consider the swampland distance and de Sitter conjectures, of respective order one parameters λ and c. Inspired by the recent Trans-Planckian Censorship conjecture (TCC), we propose a generalization of the distance conjecture, which bounds λ to be a half of the TCC bound for c, i.e. λ≥1223\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \lambda \ge \frac{1}{2}\sqrt{\frac{2}{3}} $$\end{document} in 4d. In addition, we propose a correspondence between the two conjectures, relating the tower mass m on the one side to the scalar 1 potential V on the other side schematically as m∼V12\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ m\sim {\left|V\right|}^{\frac{1}{2}} $$\end{document}, in the large distance limit. These proposals suggest a generalization of the scalar weak gravity conjecture, and are supported by a variety of examples. The lower bound on λ is verified explicitly in many cases in the literature. The TCC bound on c is checked as well on ten different no-go theorems, which are worked-out in detail, and V is analysed in the asymptotic limit. In particular, new results on 4d scalar potentials from type II compactifications are obtained.
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