Non-Abelian R-symmetries in $\mathcal{N}=1$ supersymmetry
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916155948531712 |
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| author | Brister, James Ran, Longjie Sun, Zheng |
| author_facet | Brister, James Ran, Longjie Sun, Zheng |
| contents | We investigate non-Abelian R-symmetries in $\mathcal{N}=1$ supersymmetric theory, where fields may transform under the R-symmetry in representations with dimension higher than one. While a continuous non-Abelian R-symmetry can always be decomposed to a $U(1)$ R-symmetry and non-R symmetries, there are non-trivial discrete non-Abelian R-symmetries that do not admit such a decomposition, and effective R-charges cannot be defined in such models. Previous results on sufficient conditions for R-symmetric supersymmetric vacua in Wess-Zumino models still hold, and do not depend on fields in representations of dimension greater than one. However, fields in higher-dimensional representations enter the sufficient conditions for supersymmetric vacua that break R-symmetry, but it is difficult to identify the independent variables which can be used to solve the F-flatness equation in this case, unless other conditions are fulfilled. We present examples with discrete non-Abelian R-symmetries of the lowest order in this case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_06969 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-Abelian R-symmetries in $\mathcal{N}=1$ supersymmetry Brister, James Ran, Longjie Sun, Zheng High Energy Physics - Theory We investigate non-Abelian R-symmetries in $\mathcal{N}=1$ supersymmetric theory, where fields may transform under the R-symmetry in representations with dimension higher than one. While a continuous non-Abelian R-symmetry can always be decomposed to a $U(1)$ R-symmetry and non-R symmetries, there are non-trivial discrete non-Abelian R-symmetries that do not admit such a decomposition, and effective R-charges cannot be defined in such models. Previous results on sufficient conditions for R-symmetric supersymmetric vacua in Wess-Zumino models still hold, and do not depend on fields in representations of dimension greater than one. However, fields in higher-dimensional representations enter the sufficient conditions for supersymmetric vacua that break R-symmetry, but it is difficult to identify the independent variables which can be used to solve the F-flatness equation in this case, unless other conditions are fulfilled. We present examples with discrete non-Abelian R-symmetries of the lowest order in this case. |
| title | Non-Abelian R-symmetries in $\mathcal{N}=1$ supersymmetry |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.06969 |