Implications of the weak gravity conjecture in anomalous quiver gauge theories

Implications of the weak gravity conjecture in anomalous quiver gauge theories
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弱引力猜想在反常箭袋规范理论中的意义

DOI:
10.1103/physrevd.102.065004
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发表时间:
2020
期刊:
影响因子:
5
通讯作者:
Takahashi Rei
Takahashi Rei
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Abe Yoshihiko;Higaki Tetsutaro;Takahashi Rei

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考虑反常相消条件,我们讨论了阿贝尔规范理论中规范耦合的微小性。在我们感兴趣的理论中,存在导致手征规范反常的手征费米子,并且无反常的规范耦合往往很小,因此可以给出弱引力猜想的非平凡条件。作为具体的例子,我们讨论了规范理论与离散对称性与规范群之间的循环置换,并确定异常freegauge对称性和相应的规范耦合。由于这种离散对称性,我们可以系统地研究这些模型,我们发现这些模型将是弱耦合猜想的例子。指出了一类具有过多对称性的手征规范理论可能处于沼泽地带。我们还数值研究了在一个具体模型中标量弱引力猜想对耦合的约束。这些限制可能有一个现象学的含义,手性隐藏部门以及可见部门的模型建设。
We argue a smallness of gauge couplings in Abelian quiver gauge theories, taking the anomaly cancellation condition into account. In theories of our interest there exist chiral fermions leading to chiral gauge anomalies, and an anomaly-free gauge coupling tends to be small, and hence can give a nontrivial condition of the weak gravity conjecture. As concrete examples, we considergauge theories with a discrete symmetry associated with cyclic permutations between the gauge groups, and identify anomaly-freegauge symmetries and the corresponding gauge couplings. Owing to this discrete symmetry, we can systematically study the models and we find that the models would be examples of the weak coupling conjecture. It is conjectured that a certain class of chiral gauge theories with too manysymmetries may be in the swampland. We also numerically study constraints on the couplings from the scalar weak gravity conjecture in a concrete model. These constraints may have a phenomenological implication to model building of a chiral hidden sector as well as the visible sector.
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