论文标题
$ 2N $维轴 - 电子动力学的高层结构
Higher-group structure in $2n$-dimensional axion-electrodynamics
论文作者
论文摘要
我们研究了$ 2N $维轴的电动力学，目的是探索其基础结构。这表现为背景量规场的绿色 - 奇瓦兹变换，这些轨距最少地融入了保守的电流。 $ n = 3 $ case是最深入地研究的。我们通过使用映射两个相关函数的量规变换来得出全局对称发生器之间相关函数的身份。该计算中的关键要素由绿色 - 奇瓦兹变换和与仪表转换相关的't Hooft异常。这些结果的代数结构及其物理解释将详细讨论。特别是，我们发现$ n = 3 $的较高组结构在对称发生器之间具有多AR的操作。
We investigate $2n$-dimensional axion electrodynamics for the purpose of exploring a higher-group structure underlying it. This is manifested as a Green-Schwarz transformation of the background gauge fields that couple minimally to the conserved currents. The $n=3$ case is studied most intensively. We derive the identities of correlation functions among the global symmetry generators by using a gauge transformation that maps two correlation functions with each other. A key ingredient in this computation is given by the Green-Schwarz transformation and the 't Hooft anomalies associated with the gauge transformation. The algebraic structure of these results and its physical interpretations are discussed in detail. In particular, we find that the higher-group structure for $n=3$ is endowed with a multi-ary operation among the symmetry generators.
