arXivDaily arXiv每日学术速递 周一至周五更新
arXiv math-ph/9903044math-phmath.MP
收藏

时空拓扑、守恒电荷和经典多重态的分裂

Spacetime Topology, Conserved Charges, and the Splitting of Classical Multiplets

Hanno Hammer

摘要:

我们研究了背景时空和超时空中的非平凡拓扑的后果:它显示了超平移下膜拉格朗日量的半不变性如何引起D-膜所携带的Noether电荷代数的拓扑扩展。本文研究了类光紧化时空的等距群如何允许半群扩张。它示出了如何分裂的经典多重相空间的多重连通性所造成的辛几何的框架内,辛覆盖空间和局部矩映射的概念的基础上,可以描述。

英文摘要:

We examine consequences of non-trivial topology in background spacetimes and super-spacetimes: It is shown how the semi-invariance of a brane Lagrangian under supertranslations gives rise to topological extensions of the Noether charge algebra carried by D-branes. We investigate how isometry groups of lightlike compactified spacetimes admit an extension to a semigroup. It is shown how the splitting of classical multiplets caused by multiply-connectedness of a phase space can be described in the framework of Symplectic Geometry, based on the concept of symplectic covering spaces and local moment maps.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑