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arXiv 2012.01437hep-th
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6D超引力和F理论模型的自动增强

Automatic Enhancement in 6D Supergravity and F-theory Models

Nikhil Raghuram, Washington Taylor, Andrew P. Turner

摘要:

我们观察到,在许多F理论模型中,在某些情况下调整特定的规范群$G$和物质含量$M$会导致自动增强到更大的规范群$G' \supset G$和物质含量$M' \supset M$。我们提出,这是真实的任何理论$G, M$,只要存在一个包含的理论$G', M'$,不能Higgsed到$G, M$。我们给出了一些例子,包括non-Higgsable规范因子,nonabelian规范因子,abelian规范因子和奇异物质。在每一种情况下,用所需的特征调整F理论模型会产生增强或不一致,通常是当相关的异常系数变得太大时。这一原理适用于表观6D超重力沼泽地中的各种模型,包括U(1)和SU(N)规范群和一般物质的一些最简单的情况,以及先前文献中提出的具有更高电荷的U(1)模型的无限族,可能排除所有这些表观沼泽地理论。

英文摘要:

We observe that in many F-theory models, tuning a specific gauge group $G$ and matter content $M$ under certain circumstances leads to an automatic enhancement to a larger gauge group $G' \supset G$ and matter content $M' \supset M$. We propose that this is true for any theory $G, M$ whenever there exists a containing theory $G', M'$ that cannot be Higgsed down to $G, M$. We give a number of examples including non-Higgsable gauge factors, nonabelian gauge factors, abelian gauge factors, and exotic matter. In each of these cases, tuning an F-theory model with the desired features produces either an enhancement or an inconsistency, often when the associated anomaly coefficient becomes too large. This principle applies to a variety of models in the apparent 6D supergravity swampland, including some of the simplest cases with U(1) and SU(N) gauge groups and generic matter, as well as infinite families of U(1) models with higher charges presented in the prior literature, potentially ruling out all these apparent swampland theories.

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