论文标题
电磁二元性和软电荷的注释
A note on electric-magnetic duality and soft charges
论文作者
论文摘要
我们得出了Minkoswki空间中电磁作用的明显二元性配方的渐近对称性。我们表明，该动作是在两个依赖角度的$ u（1）$变换的代数下不变的，一种是电气的，另一台电气是磁性的。与标准的电气配方一样，洛伦兹不变性需要在无穷大的无限范围内增加额外的边界自由度，此处发现是电力和磁性类型的。我们评论的这种二元性对称配方的一个值得注意的特征是，仪表发电机的零模式的壳值仅等于一半的电气和磁通量（另一半是由Dirac-string类型贡献带入的）。另一个值得注意的特征是在角度依赖性$ u（1）^2 $ -Algebra中没有中央扩展。
We derive the asymptotic symmetries of the manifestly duality invariant formulation of electromagnetism in Minkoswki space. We show that the action is invariant under two algebras of angle-dependent $u(1)$ transformations, one electric and the other magnetic. As in the standard electric formulation, Lorentz invariance requires the addition of additional boundary degrees of freedom at infinity, found here to be of both electric and magnetic types. A notable feature of this duality symmetric formulation, which we comment upon, is that the on-shell values of the zero modes of the gauge generators are equal to only half of the electric and magnetic fluxes (the other half is brought in by Dirac-string type contributions). Another notable feature is the absence of central extension in the angle-dependent $u(1)^2$-algebra.
