$\mathbb{Z}_2^2$-graded supersymmetry via superfield on minimal $\mathbb{Z}_2^2$-superspace
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866909363411615744 |
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| author | Aizawa, N. Ito, Ren Tanaka, Toshiya |
| author_facet | Aizawa, N. Ito, Ren Tanaka, Toshiya |
| contents | A superfield formalism for the minimal $\mathbb{Z}_2^2$-graded version of supersymmetry is developed. This is done by using the recently introduced definition of integration on the minimal $\mathbb{Z}_2^2$-superspace. It is shown that one may construct $\mathbb{Z}_2^2$-supersymmetric action by the procedure similar to the standard supersymmetry. However, the Lagrangian obtained has very general interaction terms, which give rise to a $\mathbb{Z}_2^2$-graded extension of many known theories defined in two-dimensional spacetime. As an illustration, we will give a $\mathbb{Z}_2^2$-extension of the sine-Gordon model different from the one already discussed in the literature. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2308_16860 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | $\mathbb{Z}_2^2$-graded supersymmetry via superfield on minimal $\mathbb{Z}_2^2$-superspace Aizawa, N. Ito, Ren Tanaka, Toshiya Mathematical Physics High Energy Physics - Theory A superfield formalism for the minimal $\mathbb{Z}_2^2$-graded version of supersymmetry is developed. This is done by using the recently introduced definition of integration on the minimal $\mathbb{Z}_2^2$-superspace. It is shown that one may construct $\mathbb{Z}_2^2$-supersymmetric action by the procedure similar to the standard supersymmetry. However, the Lagrangian obtained has very general interaction terms, which give rise to a $\mathbb{Z}_2^2$-graded extension of many known theories defined in two-dimensional spacetime. As an illustration, we will give a $\mathbb{Z}_2^2$-extension of the sine-Gordon model different from the one already discussed in the literature. |
| title | $\mathbb{Z}_2^2$-graded supersymmetry via superfield on minimal $\mathbb{Z}_2^2$-superspace |
| topic | Mathematical Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2308.16860 |