The tadpole problem
The tadpole problem
复制标题
蝌蚪问题
DOI：
10.1007/jhep11(2021)223
复制
发表时间：
2020
影响因子：
5.4
通讯作者：
Severin Lüst
中科院分区：
文献类型：
--
作者：
I. Bena;J. Blaaback;M. Graña;Severin Lüst
我们考察了在大量模数的极限下，通量稳定模数的机制。我们猜想，一个人不可能用满足蝌蚪抵消条件的通量将F-理论中的所有复结构模稳定在模空间中的一个通用点(远离奇点)。更准确地说，虽然在大量复杂结构模数的极限中，蝌蚪的界限大约是模数的四分之一，但我们推测，稳定所有模数的通量所产生的电荷量增长得更快，因此大于允许的电荷量。我们的猜想得到了两个例子的支持：K3×K3紧化，其中通过进化算法我们发现模稳定需要诱导电荷是模数的44%的通量，以及CP\DocumentClass[12pt]{Minimum}\usepackage{amsath}\usepackage{wa ysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{upgreek}\setlong{oddsidemargin}{-69pt}\Begin{Document}$\mathbm{CP}$\end{Document}，其中，稳定D7膜模数所需的助熔剂的诱导电荷也是这些模数的44%。为了证明我们的猜想，我们将排除德西特真空通过长弯曲喉道中的反膜隆起而获得的可能性，这种喉咙具有分级较小的超对称破缺标度，这需要一个大的蝌蚪。
We examine the mechanism of moduli stabilization by fluxes in the limit of a large number of moduli. We conjecture that one cannot stabilize all complex-structure moduli in F-theory at a generic point in moduli space (away from singularities) by fluxes that satisfy the bound imposed by the tadpole cancellation condition. More precisely, while the tadpole bound in the limit of a large number of complex-structure moduli goes like 1/4 of the number of moduli, we conjecture that the amount of charge induced by fluxes stabilizing all moduli grows faster than this, and is therefore larger than the allowed amount. Our conjecture is supported by two examples: K3 × K3 compactifications, where by using evolutionary algorithms we find that moduli stabilization needs fluxes whose induced charge is 44% of the number of moduli, and Type IIB compactifications on CP\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathbbm{CP} $$\end{document}3, where the induced charge of the fluxes needed to stabilize the D7-brane moduli is also 44% of the number of these moduli. Proving our conjecture would rule out de Sitter vacua obtained via antibrane uplift in long warped throats with a hierarchically small supersymmetry breaking scale, which require a large tadpole.
影响因子：
5.4
作者：
Carta, Federico;Moritz, Jakob;Westphal, Alexander
通讯作者：
Westphal, Alexander