Conserved Charges in Asymptotically (Locally) AdS Spacetimes
Conserved Charges in Asymptotically (Locally) AdS Spacetimes
复制标题
渐近（局部）AdS 时空中的守恒电荷
DOI：
10.1007/978-3-642-41992-8_19
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发表时间：
2012
影响因子：
5.4
通讯作者：
D. Marolf
中科院分区：
文献类型：
--
作者：
S. Fischetti;William R. Kelly;D. Marolf
当物理系统复杂且非线性时，全局对称性和相关的守恒量提供了一些最强大的分析工具来理解其行为。对于动态时空度量的理论和在固定时空背景上定义的系统来说都是如此。第 17 章已经讨论了渐近平坦动力时空的所谓 Arnowitt-Deser-Misner (ADM) 守恒量，详细探讨了与微分同胚不变性相关的某些微妙之处。特别是，它表明全局对称性的正确概念是由所谓的渐近对称性给出的；在无穷远处具有相同渐近行为的微分同胚的等价类。还值得注意的是，渐近对称的概念主要取决于边界条件的选择。事实上，正是边界条件的施加导致真正的规范对称性只是完整微分同胚群的子集，从而允许非平凡渐近对称性的存在。
When a physical system is complicated and nonlinear, global symmetries and the associated conserved quantities provide some of the most powerful analytic tools to understand its behavior. This is as true in theories with a dynamical spacetime metric as for systems defined on a fixed spacetime background. Chapter 17 has already discussed the so-called Arnowitt–Deser–Misner (ADM ) conserved quantities for asymptotically flat dynamical spacetimes, exploring in detail certain subtleties related to diffeomorphism invariance. In particular, it showed that the correct notion of global symmetry is given by the so-called asymptotic symmetries; equivalence classes of diffeomorphisms with the same asymptotic behavior at infinity. It was also noted that the notion of asymptotic symmetry depends critically on the choice of boundary conditions. Indeed, it is the imposition of boundary conditions that causes the true gauge symmetries to be only a subset of the full diffeomorphism group and thus allows the existence of nontrivial asymptotic symmetries at all.