arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1702.01774hep-thmath-phmath.MP
收藏

超点M理论

M-theory from the Superpoint

John Huerta, Urs Schreiber

摘要:

“膜扫描”分类一致的格林-施瓦茨弦和膜的不变上循环的超闵可夫斯基时空。“膜束”通过连续地形成由这些上循环引起的不变的高中心扩张来推广这一点,这产生了弦/M-理论的完整膜内容,包括D-膜和M5-膜,以及它们之间的各种对偶关系。这就提出了一个问题,即超闵可夫斯基时空本身是否作为极大不变中心扩张而出现。在这里,我们证明他们做的。从最简单的可能的超闵可夫斯基时空,超点,它没有洛伦兹结构和旋结构,我们给出了一个系统的过程,重复的“最大不变中心扩展”,并表明它发现了超闵可夫斯基时空包含超弦,最终在10-和11维的超闵可夫斯基时空的弦/M-理论,并直接导致膜束。

英文摘要:

The "brane scan" classifies consistent Green--Schwarz strings and membranes in terms of the invariant cocycles on super-Minkowski spacetimes. The "brane bouquet" generalizes this by consecutively forming the invariant higher central extensions induced by these cocycles, which yields the complete brane content of string/M-theory, including the D-branes and the M5-brane, as well as the various duality relations between these. This raises the question whether the super-Minkowski spacetimes themselves arise as maximal invariant central extensions. Here we prove that they do. Starting from the simplest possible super-Minkowski spacetime, the superpoint, which has no Lorentz structure and no spinorial structure, we give a systematic process of repeated "maximal invariant central extensions", and show that it discovers the super-Minkowski spacetimes that contain superstrings, culminating in the 10- and 11-dimensional super-Minkowski spacetimes of string/M-theory and leading directly to the brane bouquet.

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。

↑