Pith. sign in

REVIEW 3 cited by

Minimal $k$-inflation in light of the conformal metric-affine geometry

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2103.13045 v3 pith:PCYA5774 submitted 2021-03-24 hep-th astro-ph.COgr-qchep-ph

Yusuke Mikura , Yuichiro Tada , Shuichiro Yokoyama This is my paper · ORCID
classification hep-thastro-ph.COgr-qchep-ph
keywords conformalgeometryinflationmathrmmetric-affineminimalsymmetrylocal
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

We motivate a minimal realization of slow-roll $k$-inflation by incorporating the local conformal symmetry and the broken global $\mathrm{SO}(1,1)$ symmetry in the metric-affine geometry. With use of the metric-affine geometry where both the metric and the affine connection are treated as independent variables, the local conformal symmetry can be preserved in each term of the Lagrangian and thus higher derivatives of scalar fields can be easily added in a conformally invariant way. Predictions of this minimal slow-roll $k$-inflation, $n_\mathrm{s}\sim 0.96$, $r\sim 0.005$, and $c_\mathrm{s}\sim 0.03$, are not only consistent with current observational data but also have a prospect to be tested by forthcoming observations.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Inflation with Nieh-Yan-like terms in metric-affine gravity

    gr-qc 2026-08 conditional novelty 6.0 of 10

    A generalized Nieh-Yan coupling in metric-affine gravity can restore the consistency of Palatini inflation with CMB observations and produce testable tensor-to-scalar ratios.

  2. Friedmann cosmology with hyperfluids

    gr-qc 2024-11 conditional novelty 6.0 of 10

    For a class of hyperfluid models in metric-affine gravity, the FLRW evolution of H(t) and rho(t) keeps the general relativity form, with hypermomentum effects encoded only in modified barotropic indices.

  3. Constant-roll $\beta$-exponential inflation: Palatini formalism

    gr-qc 2026-01 reject novelty 4.0 of 10

    A parameter scan of constant-roll β-exponential inflation in Palatini R² gravity claims agreement with ACT/Planck contours, but the derivation is undermined by algebraic sign errors and an absent non-Gaussianity calculation.

Pith tools