Holography and the KKLT scenario

Holography and the KKLT scenario
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全息术和 KKLT 场景

DOI:
--
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发表时间:
2022
影响因子:
5.4
通讯作者:
K. Xu
K. Xu
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Severin Lüst;C. Vafa;Max Wiesner;K. Xu

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The KKLT scenario, one of the few ideas to realize dS vacua in string theory, consists of two steps: the first involves the construction of a supersymmetric AdS vacuum with a small negative cosmological constant, and the second involves breaking supersymmetry and uplifting the energy to achieve dS. In this paper we use conventional holography to argue why it is not possible to complete the first step. We obtain this by putting a bound on the central charge of the dual theory which involves branes wrapping special Lagrangian cycles in CY 4-folds. We find that lAdS2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {l}_{\textrm{AdS}}^2 $$\end{document} ≲ χ(CY4). Since lspecies2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {l}_{\textrm{species}}^2 $$\end{document} ≳ χ(CY4) this leads to lAdS/lspecies ≲ 1 leading at best to a highly curved AdS which is beyond the validity of the EFT.
The KKLT scenario, one of the few ideas to realize dS vacua in string theory, consists of two steps: the first involves the construction of a supersymmetric AdS vacuum with a small negative cosmological constant, and the second involves breaking supersymmetry and uplifting the energy to achieve dS. In this paper we use conventional holography to argue why it is not possible to complete the first step. We obtain this by putting a bound on the central charge of the dual theory which involves branes wrapping special Lagrangian cycles in CY 4-folds. We find that lAdS2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {l}_{\textrm{AdS}}^2 $$\end{document} ≲ χ(CY4). Since lspecies2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {l}_{\textrm{species}}^2 $$\end{document} ≳ χ(CY4) this leads to lAdS/lspecies ≲ 1 leading at best to a highly curved AdS which is beyond the validity of the EFT.
DOI: 10.1002/prop.201800086
发表时间: 2018-08
期刊: Fortschritte der Physik
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