非紧群、相干态、相对论波动方程和谐振子II：物理和几何考虑
Non-compact Groups, Coherent States, Relativistic Wave Equations and the Harmonic Oscillator II: Physical and Geometrical Considerations
摘要：
本文阐明了作者在前一部分介绍的特别简单的非简并超度规的物理意义，并分析和讨论了它与高能物理中拓扑起源过程的可能联系。提出了一种新的可能的机制，在一个特定的扇区的超流形的领域的本地化和5维翘曲模型的相似性和差异。明确给出了超引力规范理论与$OSP(1/4)$群的关系，并给出了可能的初始作用量。我们还表明，在这个非简并的超模型中，与基本状态相比，非线性状态是可观测的，可以解释为属于亚群$Mp(2)$的算子的层析投影或广义表示。指出了基于非退化超流形的几何公式相对于基于退化超流形的几何公式的优越性，并从可能的真空解的角度描述和分析了最简单的黎曼超空间的一些有趣的方面.
英文摘要：
The physical meaning of the particularly simple non-degenerate supermetric, introduced in the previous part by the authors, is elucidated and the possible connection with processes of topological origin in high energy physics is analyzed and discussed. New possible mechanism of the localization of the fields in a particular sector of the supermanifold is proposed and the similarity and differences with a 5-dimensional warped model are shown. The relation with gauge theories of supergravity based in the $OSP(1/4)$ group is explicitly given and the possible original action is presented. We also show that in this non-degenerate super-model the physic states, in contrast with the basic states, are observables and can be interpreted as tomographic projections or generalized representations of operators belonging to the metaplectic group $Mp(2)$. The advantage of geometrical formulations based on non-degenerate super-manifolds over degenerate ones is pointed out and the description and the analysis of some interesting aspects of the simplest Riemannian superspaces are presented from the point of view of the possible vacuum solutions.
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。
