In this paper, geometries and supergeometries are analyzed from the point of view of the coset coherent states. To this end, before detailing the different factorizations of the simplest cosets, the dynamics and structure of Supercoherent states of the Klauder–Perelomov type (that are defined taking into account the geometry of the coset based on the simplest supergroup SU(2|1) in the context of extensions of the standard model that were given previously in [A. B. Arbuzov and D. J. Cirilo-Lombardo, Phys. Scr. 94 (2019) 125302] as structural basis of the electroweak sector of the standard model (SM)) are used. The supergeometrical descriptions with such coherent superstates which uses group representation from [Y. Ne’eman, S. Sternberg and D. Fairlie, Phys. Rept. 406 (2005) 303–377] for a beyond SM model, are also defined for the noncompact case SU(1, 1|1).

中文翻译：

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超相干态、最简单的超群和相关的超几何

本文从陪集相干态的角度分析几何和超几何。为此，在详细说明最简单陪集的不同分解之前，Klauder-Perelomov 类型的超相干态的动力学和结构（在定义时考虑了基于最简单超群的陪集的几何形状）小号ü(2|1)在 [AB Arbuzov 和 DJ Cirilo-Lombardo，物理。斯克。 94（2019）125302]作为标准模型（SM）的弱电扇区的结构基础）被使用。具有这种连贯超状态的超几何描述，它使用 [Y. Ne'eman、S. Sternberg 和 D. Fairlie，物理。代表。 406(2005) 303-377] 对于超越 SM 模型，也为非紧凑情况定义小号ü(1, 1|1).