English

Independent connection in ACTion during inflation

High Energy Physics - Phenomenology 2025-09-03 v2 Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Theory

Abstract

The Atacama Cosmology Telescope (ACT) has recently released new measurements and constraints on inflationary observables. In this paper it is shown that a component of a dynamical affine connection, which is independent of the metric, can easily drive inflation in agreement with these observations. Such geometrical explanation of inflation is analysed in detail here in the minimal model, including the predictions for the scalar spectral index nsn_s and its running αs\alpha_s, the amplitude of the scalar perturbations and the tensor-to-scalar ratio rr. Furthermore, this minimal model is shown to provide an inflationary attractor: arbitrary initial values of the kinetic energy density are dynamically attracted down to negligible values compared to the potential energy density in homogeneous and isotropic metrics. Also, the role of the Higgs boson during and after inflation is briefly discussed.

Keywords

Cite

@article{arxiv.2504.10488,
  title  = {Independent connection in ACTion during inflation},
  author = {Alberto Salvio},
  journal= {arXiv preprint arXiv:2504.10488},
  year   = {2025}
}

Comments

v2: 6 pages, 4 figures, a plot and more explanations added, version accepted for publication in Physical Review D (Letter)

R2 v1 2026-06-28T22:58:03.027Z