拓扑N = 2 super-BMS3代数上的U (h)自由模

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-06-01 DOI:10.1063/5.0139069

Hao Lu, Jiancai Sun, Honglian Zhang

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引用次数: 0

摘要

本文构造了拓扑N = 2 super-BMS3代数g上的一类非权模。假设h′=CL0⊕CP0⊕c0⊕CQ0是g的Cartan子代数，h′=CL0⊕CP0是h′的二维子代数。g上的这些模作为子代数h的模是没有秩2的。事实上，这些模是可约的。此外，我们给出了秩为2 / g的自由U(h)模的完全分类。

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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U ( h ) -free modules over the topological N = 2 super-BMS3 algebra

In this paper, a class of non-weight modules over the topological N = 2 super-BMS3 algebra g are completely constructed. Assume that h̄=CL0⊕CP0⊕CG0⊕CQ0 is the Cartan subalgebra of g and h=CL0⊕CP0 is a two-dimensional subalgebra of h̄. These modules over g are free of rank 2 as modules of the subalgebra h. In fact, these modules are reducible. Moreover, we give a complete classification of free U(h)-modules of rank 2 over g.

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来源期刊

Journal of Mathematical Physics Analysis Geometry PHYSICS, MATHEMATICAL-

CiteScore

0.70

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Mathematical Physics, Analysis, Geometry (JMPAG) publishes original papers and reviews on the main subjects: mathematical problems of modern physics; complex analysis and its applications; asymptotic problems of differential equations; spectral theory including inverse problems and their applications; geometry in large and differential geometry; functional analysis, theory of representations, and operator algebras including ergodic theory. The Journal aims at a broad readership of actively involved in scientific research and/or teaching at all levels scientists.