تقرير
$\mathcal{N}=2$ Double graded supersymmetric quantum mechanics via dimensional reduction
| العنوان: | $\mathcal{N}=2$ Double graded supersymmetric quantum mechanics via dimensional reduction |
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| المؤلفون: | Aizawa, N., Ito, Ren, Tanaka, Toshiya |
| المصدر: | AIMS Mathematics, 9 (2024) 10494-10510 |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, High Energy Physics - Theory |
| الوصف: | We present a novel $\mathcal{N} = 2 $ $\mathbb{Z}_2^2$-graded supersymmetric quantum mechanics ($\mathbb{Z}_2^2$-SQM) which has different features from those introduced so far. It is a two-dimensional (two-particle) system and is the first example of the quantum mechanical realization of an eight-dimensional irrep of the $\mathcal{N}=2$ $\mathbb{Z}_2^2$-supersymmetry algebra. The $\mathbb{Z}_2^2$-SQM is obtained by quantizing the one-dimensional classical system derived by dimensional reduction from the two-dimensional $\mathbb{Z}_2^2$-supersymmetric Lagrangian of $\mathcal{N}=1$, which we constructed in our previous work. The ground states of the $\mathbb{Z}_2^2$-SQM are also investigated. Comment: 16 pages, no figure |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.3934/math.2024513 |
| URL الوصول: | http://arxiv.org/abs/2401.02742 |
| رقم الأكسشن: | edsarx.2401.02742 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.3934/math.2024513 |
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