Electric-Magnetic Duality for Symmetric Tensor Gauge Theories and Immobile $p$-branes
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909888712540160 |
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| author | Makino, Ryuki Sasaki, Shin Shiozawa, Kenta |
| author_facet | Makino, Ryuki Sasaki, Shin Shiozawa, Kenta |
| contents | We study electric-magnetic duality in Lorentz invariant symmetric tensor gauge theories, where immobile charged particles - fractons - arise due to the generalized current conservation $\partial_μ \partial_ν J^{μν} = 0$ and the fracton gauge principle. We show that the duality in the symmetric gauge theories holds only in four-dimensional spacetime. In higher dimensions, the duality does not hold with only the symmetric gauge fields but tensor fields with more complex symmetries come into play. Furthermore, we show that a hierarchy for the symmetric gauge field theories of higher ranks is interpreted by the bi-form calculus. We also discuss the restricted immobility of $p$-branes in the mixed symmetric gauge theories. As a byproduct, we find that novel self-duality conditions are defined as BPS equations in the four-dimensional Euclidean space. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_11174 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Electric-Magnetic Duality for Symmetric Tensor Gauge Theories and Immobile $p$-branes Makino, Ryuki Sasaki, Shin Shiozawa, Kenta High Energy Physics - Theory Strongly Correlated Electrons We study electric-magnetic duality in Lorentz invariant symmetric tensor gauge theories, where immobile charged particles - fractons - arise due to the generalized current conservation $\partial_μ \partial_ν J^{μν} = 0$ and the fracton gauge principle. We show that the duality in the symmetric gauge theories holds only in four-dimensional spacetime. In higher dimensions, the duality does not hold with only the symmetric gauge fields but tensor fields with more complex symmetries come into play. Furthermore, we show that a hierarchy for the symmetric gauge field theories of higher ranks is interpreted by the bi-form calculus. We also discuss the restricted immobility of $p$-branes in the mixed symmetric gauge theories. As a byproduct, we find that novel self-duality conditions are defined as BPS equations in the four-dimensional Euclidean space. |
| title | Electric-Magnetic Duality for Symmetric Tensor Gauge Theories and Immobile $p$-branes |
| topic | High Energy Physics - Theory Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2505.11174 |