论文标题
弱重力猜想的含义在异常的箭筒理论中
Implications of the weak gravity conjecture in anomalous quiver gauge theories
论文作者
论文摘要
我们认为，考虑到异常取消条件的阿贝利亚箭量理论中的量规耦合很小。在我们感兴趣的理论中，存在导致手性量表异常的手性效率，无异常的量规耦合往往很小，因此可以给出弱重力猜想的非平凡条件。作为具体的示例，我们考虑$ u（1）^{k} $仪表理论，具有与量规组之间的循环排列相关的离散对称性，并识别无异常的$ u（1）$ g仪表对称和相应的量规耦合。由于这种离散的对称性，我们可以系统地研究模型，并发现模型将是弱耦合猜想的示例。据推测，某种类别的手性量规理论可能会在邮票中使用过多$ u（1）$ symmetries。我们还在数值上研究了混凝土模型中标量弱重力猜想的耦合的约束。这些限制可能与手性隐藏部门以及可见扇区的模型建立具有现象学意义。
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 non-trivial condition of the weak gravity conjecture. As concrete examples, we consider $U(1)^{k}$ gauge theories with a discrete symmetry associated with cyclic permutations between the gauge groups, and identify anomaly-free $U(1)$ gauge 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 many $U(1)$ symmetries 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.
