具有连续对称性的双曲单极子

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-06-25 DOI:10.1016/j.geomphys.2024.105258

C.J. Lang

引用次数: 0

摘要

我们为具有连续对称性的双曲单极子的分类提供了一个框架，并找到了一个结构定理，大大简化了所有具有球对称性的双曲单极子的构造。这样，我们就把寻找球对称双曲单极的问题简化成了一个表示论问题。此外，我们还确定了此类单极的结构群约束。利用这些结果，我们构建了新颖的球对称双曲单极。

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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Hyperbolic monopoles with continuous symmetries

We provide a framework to classify hyperbolic monopoles with continuous symmetries and find a Structure Theorem, greatly simplifying the construction of all those with spherically symmetry. In doing so, we reduce the problem of finding spherically symmetric hyperbolic monopoles to a problem in representation theory. Additionally, we determine constraints on the structure groups of such monopoles. Using these results, we construct novel spherically symmetric $Sp (n)$ hyperbolic monopoles.

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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.