TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.1.022
TI  - Fractons on curved spacetime in 2 + 1 dimensions
PY  - 2025/01/17
UR  - https://scipost.org/SciPostPhys.18.1.022
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 1
SP  - 022
A1  - Hartong, Jelle
AU  - Palumbo, Giandomenico
AU  - Pekar, Simon
AU  - Perez, Alfredo
AU  - Prohazka, Stefan
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.18.1.022,
	title={{Fractons on curved spacetime in 2 + 1 dimensions}},
	author={Jelle Hartong and Giandomenico Palumbo and Simon Pekar and Alfredo Perez and Stefan Prohazka},
	journal={SciPost Phys.},
	volume={18},
	pages={022},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.1.022},
	url={https://scipost.org/10.21468/SciPostPhys.18.1.022},
}