• Accepted Paper

MacDowell-Mansouri σ-model

Egor Pluzhnikov and Stanislav Alexeyev

Phys. Rev. D - Accepted 16 October, 2026

DOI: https://doi.org/10.1103/h735-611y

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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