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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2107.05443 |
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| _version_ | 1866915852349079552 |
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| author | Geiller, Marc Jai-akson, Puttarak Osumanu, Abdulmajid Pranzetti, Daniele |
| author_facet | Geiller, Marc Jai-akson, Puttarak Osumanu, Abdulmajid Pranzetti, Daniele |
| contents | In the context of the infrared triangle there have been recent discussions on the existence and the role of dual charges. We present a new viewpoint on dual magnetic charges in $p$-form theories, and argue that they can be inherited from the charges of a first order formulation as a topological BF theory with potential. This happens because, depending on the spacetime dimension and on the form degree, the so-called translational gauge symmetries of BF theory become reducible and therefore admit zero-modes. Although such zero-modes lead to trivial symmetries of the $p$-form theory, they are associated with non-trivial charges. These turn out to be precisely the dual magnetic charges. The centrally-extended current algebra of electric and magnetic charges in the $p$-form theory then descends naturally from that of BF theory. This is an effort towards finding an existence criterion for dual charges. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_05443 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Electromagnetic duality and central charge from first order formulation Geiller, Marc Jai-akson, Puttarak Osumanu, Abdulmajid Pranzetti, Daniele High Energy Physics - Theory In the context of the infrared triangle there have been recent discussions on the existence and the role of dual charges. We present a new viewpoint on dual magnetic charges in $p$-form theories, and argue that they can be inherited from the charges of a first order formulation as a topological BF theory with potential. This happens because, depending on the spacetime dimension and on the form degree, the so-called translational gauge symmetries of BF theory become reducible and therefore admit zero-modes. Although such zero-modes lead to trivial symmetries of the $p$-form theory, they are associated with non-trivial charges. These turn out to be precisely the dual magnetic charges. The centrally-extended current algebra of electric and magnetic charges in the $p$-form theory then descends naturally from that of BF theory. This is an effort towards finding an existence criterion for dual charges. |
| title | Electromagnetic duality and central charge from first order formulation |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2107.05443 |