来自复杂分裂双四元数和生物八元数的左右对称费米子和无菌中微子

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-05-17 DOI:10.1007/s00006-023-01278-8

Vatsalya Vaibhav, Tejinder P. Singh

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引用次数: 14

摘要

在本文中，我们研究了复分裂双四元数和生物素在标准模型中的应用。我们证明了Clifford代数Cl（3）和Cl（7）可以用于生成左右对称费米子。因此，我们将右手中微子纳入基于除法代数的标准模型方法中。右手中微子，或称无菌中微子，是一种潜在的暗物质候选者。利用除法代数方法，我们讨论了左右对称费米子及其现象学。我们描述了与左右对称模型相关的规范群，以及通过除法代数实现统一的前景。我们简要讨论了通过例外Jordan代数（J_3（O））和例外群（F_4）和（E_6）获得三代费米子和电荷质量比的可能性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Left-Right Symmetric Fermions and Sterile Neutrinos from Complex Split Biquaternions and Bioctonions

In this article we investigate the application of complex split biquaternions and bioctonions to the standard model. We show that the Clifford algebras Cl(3) and Cl(7) can be used for making left-right symmetric fermions. Hence we incorporate right-handed neutrinos in the division algebras-based approach to the standard model. The right-handed neutrinos, or sterile neutrinos, are a potential dark-matter candidate. Using the division algebra approach, we discuss the left-right symmetric fermions and their phenomenology. We describe the gauge groups associated with the left-right symmetric model and prospects for unification through division algebras. We briefly discuss the possibility of obtaining three generations of fermions and charge/mass ratios through the exceptional Jordan algebra \(J_3(O)\) and the exceptional groups \(F_4\) and \(E_6\).

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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