Fractons on curved spacetime in $2+1$ dimensions
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913493182054400 |
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| author | Hartong, Jelle Palumbo, Giandomenico Pekar, Simon Pérez, Alfredo Prohazka, Stefan |
| author_facet | Hartong, Jelle Palumbo, Giandomenico Pekar, Simon Pérez, Alfredo Prohazka, Stefan |
| contents | We study dipole Chern-Simons theory with and without a cosmological constant in $2+1$ dimensions. We write the theory in a second order formulation and show that this leads to a fracton gauge theory coupled to Aristotelian geometry which can also be coupled to matter. This coupling exhibits the remarkable property of generalizing dipole gauge invariance to curved spacetimes, without placing any limitations on the possible geometries. We also use the second order formulation to construct a higher dimensional generalization of the action. Finally, for the $(2+1)$-dimensional Chern-Simons theory we find solutions and interpret these as electric monopoles, analyze their charges and argue that the asymptotic symmetries are infinite-dimensional. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04525 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fractons on curved spacetime in $2+1$ dimensions Hartong, Jelle Palumbo, Giandomenico Pekar, Simon Pérez, Alfredo Prohazka, Stefan High Energy Physics - Theory Strongly Correlated Electrons General Relativity and Quantum Cosmology We study dipole Chern-Simons theory with and without a cosmological constant in $2+1$ dimensions. We write the theory in a second order formulation and show that this leads to a fracton gauge theory coupled to Aristotelian geometry which can also be coupled to matter. This coupling exhibits the remarkable property of generalizing dipole gauge invariance to curved spacetimes, without placing any limitations on the possible geometries. We also use the second order formulation to construct a higher dimensional generalization of the action. Finally, for the $(2+1)$-dimensional Chern-Simons theory we find solutions and interpret these as electric monopoles, analyze their charges and argue that the asymptotic symmetries are infinite-dimensional. |
| title | Fractons on curved spacetime in $2+1$ dimensions |
| topic | High Energy Physics - Theory Strongly Correlated Electrons General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2409.04525 |