$\mathcal{N}=2$ Double graded supersymmetric quantum mechanics via dimensional reduction
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929282462253056 |
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| author | Aizawa, N. Ito, Ren Tanaka, Toshiya |
| author_facet | Aizawa, N. Ito, Ren Tanaka, Toshiya |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02742 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $\mathcal{N}=2$ Double graded supersymmetric quantum mechanics via dimensional reduction Aizawa, N. Ito, Ren Tanaka, Toshiya Mathematical Physics High Energy Physics - Theory 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. |
| title | $\mathcal{N}=2$ Double graded supersymmetric quantum mechanics via dimensional reduction |
| topic | Mathematical Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2401.02742 |