A conceptual bridge is provided between SUSY and the three-Hilbert-space upgrade of quantum theory a.k.a. ${\cal PT}-$symmetric or quasi-Hermitian. In particular, a natural theoretical link is found between SUSY and the presence of Kato's exceptional points (EPs), both being related to the phenomenon of degeneracy of energy levels. Regularized spiked harmonic oscillator is recalled for illustration.

中文翻译：

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超对称和异常点

在 SUSY 和量子理论的三希尔伯特空间升级（又名 ${\cal PT}-$symmetric or quasi-Hermitian）之间提供了一个概念桥梁。特别是，在 SUSY 和加藤例外点 (EP) 的存在之间发现了自然的理论联系，两者都与能级简并现象有关。召回正则化尖峰谐振子以供说明。