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Construction of matryoshka nested indecomposable N-replications of Kac-modules of quasi-reductive Lie superalgebras, including the sl(m/n) and osp(2/2n) series
by Jean Thierry-Mieg, Peter D. Jarvis, Jerome Germoni, with an appendix by Maria Gorelik
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Submission summary
| Authors (as registered SciPost users): | Jean Thierry-Mieg |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2207.06538v2 (pdf) |
| Date submitted: | Oct. 18, 2022, 9:46 p.m. |
| Submitted by: | Jean Thierry-Mieg |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 34th International Colloquium on Group Theoretical Methods in Physics (GROUP2022) |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
One of the Dynkin weights labeling the finite dimensional irreducible representations of the type I Lie superalgebras sl(m/n) and osp(2/2n) is continuous. Taking the derivative, we show how to construct new indecomposable representations recursively embedding N copies of the original irreducible representation, coupled by generalized Cabibbo angles as observed among elementary particles: leptons and quarks. The construction is then generalized in the appendix to quasi-reductive Lie superalgebras.
Current status:
Has been resubmitted
Anonymous on 2023-01-25 [id 3268]
see attached PDF file
Attachment:
Report.pdf