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MacDowell-Mansouri σ-model
Abstract
Standard pre-geometric mechanisms reproduce the ΛCDM model but lack a natural source for inflation. We propose a mechanism for the emergence of scalar-coupled topological terms by extending the Lie algebra of a MacDowell-Mansouri model to a Lie algebroid. These terms are commonly regarded as a source for cosmological inflation in effective string actions. With an additional constraint on torsion imposed, the theory reduces to a scalar-tensor theory belonging to the Horndeski class, and reproduces inflationary dynamics that meet existing constraints (Planck/BICEP/Keck and GW170817).
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BibTeX
@misc{pluzhnikov2026macdowellmansouri,
title = {{MacDowell-Mansouri $σ$-model}},
author = {Egor Pluzhnikov and Stanislav Alexeyev},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2608.14596},
eprint = {2608.14596},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.14596},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - MacDowell-Mansouri σ-model
AU - Egor Pluzhnikov
AU - Stanislav Alexeyev
PY - 2026
DA - 2026/10/19
PB - arXiv
DO - 10.48550/arxiv.2608.14596
UR - https://arxiv.org/abs/2608.14596
AB - Standard pre-geometric mechanisms reproduce the ΛCDM model but lack a natural source for inflation. We propose a mechanism for the emergence of scalar-coupled topological terms by extending the Lie algebra of a MacDowell-Mansouri model to a Lie algebroid. These terms are commonly regarded as a source for cosmological inflation in effective string actions. With an additional constraint on torsion imposed, the theory reduces to a scalar-tensor theory belonging to the Horndeski class, and reproduces inflationary dynamics that meet existing constraints (Planck/BICEP/Keck and GW170817).
ER -