MacDowell-Mansouri σ模型
MacDowell-Mansouri $σ$-model
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中文总结 AI 辅助
研究针对标准前几何机制缺乏自然暴胀源的问题，将MacDowell-Mansouri模型的李代数扩展为李代数胚，提出标量耦合拓扑项产生机制，得到符合观测约束的Horndeski类标量-张量暴胀理论。
中文摘要 AI 辅助
标准的前几何机制可再现ΛCDM模型，但缺乏自然的暴胀源。我们通过将MacDowell-Mansouri模型的李代数扩展为李代数胚，提出了标量耦合拓扑项的产生机制，这类项在有效弦作用量中被视为宇宙暴胀的源。该理论可约化为Horndeski类的标量-张量理论，再现了符合现有约束（Planck/BICEP/Keck及GW170817）的暴胀动力学。
英文摘要
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. The theory reduces to the scalar-tensor theory belonging to the Horndeski class, and reproduces inflationary dynamics that meet existing constraints (Planck/BICEP/Keck and GW170817).
