标题： 黑洞电磁对偶性 显示英文标题

标题： Black Hole Electromagnetic Duality

摘要： 在定义了2$n$维度中一般$n$-形式阿贝尔规范场的对偶概念之后，我们通过显式例子展示了看似但无法实现的对偶变换之间的差异，即在$D=4k+2$中的变换，以及在$D=4k$中可以由显式动力学生成器实现的变换。 然后我们考虑在引力存在的情况下麦克斯韦理论中的对偶变换，特别是带电和磁荷的黑洞几何结构。 通过比较动力变量和电荷参数都被“旋转”的作用量，我们证明了等量电荷和磁荷的黑洞的作用量相等，从而确立了它们在依赖于作用量本身值的半经典过程中等价性。 显示英文摘要

摘要： After defining the concept of duality in the context of general $n$-form abelian gauge fields in 2$n$ dimensions, we show by explicit example the difference between apparent but unrealizable duality transformations, namely those in $D=4k+2$, and those, in $D=4k$, that can be implemented by explicit dynamical generators. We then consider duality transformations in Maxwell theory in the presence of gravitation, particularly electrically and magnetically charged black hole geometries. By comparing actions in which both the dynamical variables and the charge parameters are "rotated," we show their equality for equally charged electric and magnetic black holes, thus establishing their equivalence for semiclassical processes which depend on the value of the action itself.