Vacuum states in supersymmetric Kaluza-Klein theory
Vacuum states in supersymmetric Kaluza-Klein theory
复制标题
超对称卡鲁扎-克莱因理论中的真空态
DOI：
10.1016/0370-2693(84)90669-5
复制
发表时间：
1984
影响因子：
4.4
通讯作者：
J. Kowalski
中科院分区：
文献类型：
--
作者：
J. Kowalski
超对称Kaluza Klein理论是几年前由Witten提出的。这个建议的主要观点（在最正统的解释中，我将遵循）是时空有11个维度，而控制世界的真正统一理论是由Cremmer等人提出的D- 11， N= 1超引力理论。低维物理是通过一个称为降维的过程从完整的理论中获得的，该过程以以下方式进行。我们从背景域的特定配置开始。背景流形的拓扑结构（至少在局部）是m4 xc7，其中m4是具有Minkowski签名的四维流形，c7是七维齐次空间G/H，其中G是紧李群，H是它的子群。然后将所有场展开为七维空间上的广义球面谐波，这意味着这些场与群油“内部空间”的作用是相容的。这个展开的分量给出了有效的四维场。从上面给出的意识形态可以清楚地看出，建设的第一步必须是找到一个合适的背景场的配置。这个结构的能量必须为零似乎是不合理的。这个条件可以允许许多基态，所有的基态都同样好。在这一点上，我放松了Brian等人的假设。b[3]，他们额外要求！我们是四维洛伦兹不变性。我认为这一假设与波兰MR. 1.7研究项目部分支持的Kaluza-Klein作品的意识形态不一致。
The supersymmetric Kaluza Klein theory was proposed several years ago by Witten [1]. The main point of this proposal (in the most orthodox interpretation, which I will follow) is that space-time has eleven dimensions and that the really unified theory governing the world is D--11, N= 1 supergravity by Cremmer et al.[2]. The low dimensional physics is obtained from the full theory by a procedure called dimensional reduction, which is performed in the following way. We start with a certain configuration of background fields. The topology of the background manifold is (at least locally) of the form M 4 XC 7, where M 4 is a four dimensional manifold with Minkowski signature and C 7 is a seven dimensional homogeneous space G/H, where G is a compact Lie group and H its subgroup. Then all fields are expanded into generalized spherical harmonics on seven dimensional space which means that the fields are compatible with the action of the group oil" internal space". The components of this expansion give us effective four dimensional fields.From the ideology given above it is clear that the first step of the construction must be finding an appropriate configuration of background fields. It seems~ o be reasonable that this configuration must have exactly zero energy. This condition may allow many ground states, all of which are equally good. At this point I relax an assumption by Brian et al.[3], who additionally requ! re four dimensional Lorentz invariance. I think that this assumption is inconsistent with the ideology of this version of Kaluza-Klein Work supported in part by Polish Research Project MR. 1.7.