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Modular Invariant Slow Roll Inflation

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arxiv 2405.06497 v2 pith:QXHSYHTO submitted 2024-05-10 hep-ph astro-ph.COhep-th

Gui-Jun Ding , Si-Yi Jiang , Wenbin Zhao This is my paper · ORCID
classification hep-phastro-ph.COhep-th
keywords modularinflationfieldmodelsmodulussymmetryagreealong
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We propose new classes of inflation models based on the modular symmetry, where the modulus field $\tau$ serves as the inflaton. We establish a connection between modular inflation and modular stabilization, wherein the modulus field rolls towards a fixed point along the boundary of the fundamental domain. We find the modular symmetry strongly constrain the possible shape of the potential and identify some parameter space where the inflation predictions agree with cosmic microwave background observations. The tensor-to-scalar ratio is predicted to be smaller than $10^{-6}$ in our models, while the running of spectral index is of the order of $10^{-4}$.

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Cited by 6 Pith papers

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

  1. Modulus stabilization of modular flavor models in Jordan frame supergravity

    hep-ph 2026-01 conditional novelty 6.0 of 10

    Non-minimal scalar-curvature coupling reshapes the modulus potential, allowing stabilization at i∞ or at CP-breaking points in modular flavor models.

  2. Stringy Constraints on Modular Flavor Models

    hep-ph 2025-08 conditional novelty 6.0 of 10

    Heterotic one-loop threshold corrections imply upper bounds on the modulus in modular flavor models, ruling out tau near i infinity for typical dilaton and beta-function values and disfavoring tau = i at large volume.

  3. Large and small hierarchies from finite modular symmetries

    hep-ph 2024-12 conditional novelty 6.0 of 10

    Using finite modular symmetries, radiative stabilization of multiple moduli can simultaneously generate large and small hierarchies, such as Im τ1 ≈ 3 and Im τ2 ≈ 15.

  4. Modular Symmetry with Weighton

    hep-ph 2025-05 conditional novelty 5.0 of 10

    A systematic classification of modular weighton models at levels 3, 4 and 5, with two T' benchmark fits that reproduce quark and lepton hierarchies, each requiring one admitted cancellation.

  5. Analysis of inflationary models in higher-dimensional uniform inflation

    hep-ph 2025-01 conditional novelty 5.0 of 10

    In (D+4)-dimensional uniform inflation the spectral index and tensor-to-scalar ratio are ns=1-(D+6)ε+2η and r=8(D+2)ε, which excludes D≥2 for the five models studied while allowing D=1 in the b0k >> 1 branch.

  6. Inflationary constraints on the moduli-dependent species scale in modular invariant theories

    hep-th 2024-11 conditional novelty 5.0 of 10

    For SL(2,Z) modular inflation models, the CMB spectral index and tensor-to-scalar ratio imply a gravitational species scale of about 10^16 GeV.

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