Understanding Fermionic Generalized Symmetries
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913572326473728 |
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| author | Ambrosino, Federico Luo, Ran Wang, Yi-Nan Zhang, Yi |
| author_facet | Ambrosino, Federico Luo, Ran Wang, Yi-Nan Zhang, Yi |
| contents | We explore new aspects of internal fermionic shifting symmetries, present in physical systems such as free Dirac spinors and p-form tensor-spinor fields. We propose a novel procedure to gauge these global symmetries, which also introduces a new Stückelberg mechanism to give a mass to free fermionic fields. Furthermore, we find new magnetic fermionic symmetries in these physical systems whose charged objects are disorder operators. For the case of a Dirac spinor, we discuss an dual description, where the magnetic symmetry acts on the holonomies of a dual 2-form tensor-spinor. Further generalizations such as higher-group-like structures are also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_12301 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Understanding Fermionic Generalized Symmetries Ambrosino, Federico Luo, Ran Wang, Yi-Nan Zhang, Yi High Energy Physics - Theory We explore new aspects of internal fermionic shifting symmetries, present in physical systems such as free Dirac spinors and p-form tensor-spinor fields. We propose a novel procedure to gauge these global symmetries, which also introduces a new Stückelberg mechanism to give a mass to free fermionic fields. Furthermore, we find new magnetic fermionic symmetries in these physical systems whose charged objects are disorder operators. For the case of a Dirac spinor, we discuss an dual description, where the magnetic symmetry acts on the holonomies of a dual 2-form tensor-spinor. Further generalizations such as higher-group-like structures are also discussed. |
| title | Understanding Fermionic Generalized Symmetries |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.12301 |