PreprintarXiv licencearXiv
Higher-form Symmetries of Linearized Gravity in Maximally Symmetric Spaces
Abstract
We formulate the gravitational field on maximally symmetric spacetimes as a gauge theory, and investigate higher-form symmetries of the linearized gravitational field via a series expansion in Newton's gravitational constant. To treat gravity as a gauge theory, the MacDowell-Mansouri formulation based on Cartan geometry is utilized. We show the existence of a 1-form symmetry in linearized gravity on Minkowski spacetime. Furthermore, for other maximally symmetric spacetimes (de Sitter and anti-de Sitter spacetimes) with a small cosmological constant, we demonstrate the existence of an approximate 1-form symmetry in the corresponding linearized gravity, detailing its explicit dependence on the cosmological constant.
Related
- Maximally symmetric black holes with torsion in Lovelock gravity
- Timelike Entanglement First Law and Linearized Field Equations in Higher Curvature Gravity
- Timelike entanglement first law and linearized field equations in higher curvature gravity
- Noether and Mei symmetries in static spherically symmetric quadratic gravity: variational consistency, constraints, and conserved curvature flux
- Keeping the interaction structure explicit: comment on "Graphs are maximally expressive for higher-order interactions"
BibTeX
@misc{kido2026higherform,
title = {{Higher-form Symmetries of Linearized Gravity in Maximally Symmetric Spaces}},
author = {Natsuya Kido},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.04218},
eprint = {2610.04218},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.04218},
}
RIS
TY - UNPB
TI - Higher-form Symmetries of Linearized Gravity in Maximally Symmetric Spaces
AU - Natsuya Kido
PY - 2026
DA - 2026/10/03
PB - arXiv
DO - 10.48550/arxiv.2610.04218
UR - https://arxiv.org/abs/2610.04218
AB - We formulate the gravitational field on maximally symmetric spacetimes as a gauge theory, and investigate higher-form symmetries of the linearized gravitational field via a series expansion in Newton's gravitational constant. To treat gravity as a gauge theory, the MacDowell-Mansouri formulation based on Cartan geometry is utilized. We show the existence of a 1-form symmetry in linearized gravity on Minkowski spacetime. Furthermore, for other maximally symmetric spacetimes (de Sitter and anti-de Sitter spacetimes) with a small cosmological constant, we demonstrate the existence of an approximate 1-form symmetry in the corresponding linearized gravity, detailing its explicit dependence on the cosmological constant.
ER -