Fractons on curved spacetime in 2 + 1 dimensions

Autor(en)

Jelle Hartong, Giandomenico Palumbo, Simon Pekar, Alfredo Perez, Stefan Prohazka

Abstrakt

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.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

University of Edinburgh, Dublin Institute for Advanced Studies, Institut Polytechnique de Paris, Centro de Estudios Cientificos (CECs), Universidad San Sebastián

Journal

SciPost Physics

Band

18

Anzahl der Seiten

24

ISSN

2542-4653

DOI

https://doi.org/10.48550/arXiv.2409.04525

Publikationsdatum

01-2025

Peer-reviewed

Ja

ÖFOS 2012

103012 Hochenergiephysik, 103028 Relativitätstheorie

ASJC Scopus Sachgebiete

Allgemeine Physik und Astronomie

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/43670f9e-4c7b-4f0d-ac9a-c33ad74ef216