扭曲的标准模型及其Krein结构——纪念Manuele Filaci
Twisted Standard Model and its Krein structure -- in memoriam Manuele Filaci
AI总结：
该研究通过扭曲标准模型谱三元组的内积，将其转化为Krein空间，并揭示了扭子对称群作为其子群的结构。
摘要：
我们回顾了Manuele Filaci对非交换几何中标准模型描述的贡献。基于Manuele发现的多种方式对标准模型谱三元组进行最小扭曲，我们系统地研究了扭曲诱导的内积。在宽松假设下，这种内积将谱三元组的希尔伯特空间转化为Krein空间。对于标准模型，相对于扭曲内积的单位群包含扭子对称群作为子群。
英文摘要：
We review the contributions of Manuele Filaci - a PhD student from the university of Genova prematurely deceased a little more than a year ago - to the description of the Standard Model in noncommutative geometry. Building on Manuele's discovery that there exist various ways to minimally twist the spectral triple of the Standard Model, we study in a systematic way the inner product induced by the twist. Under loose assumptions, this product turns the Hilbert space of the spectral triple into a Krein space. For the Standard Model, the group of unitary with respect to the twisted product contains the symmetry group of twistors as a subgroup.
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。
