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Modular Invariant Hilltop Inflation

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arxiv 2405.08924 v3 pith:FO6VGHK5 submitted 2024-05-14 hep-ph hep-th

Stephen F. King , Xin Wang This is my paper · ORCID
classification hep-phhep-th
keywords inflationinvariantmodularhilltopmodulusfieldnearpoint
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abstract

In this paper we show that it is possible to achieve successful hilltop inflation in which the inflaton is identified as the modulus field in a modular invariant theory. The dilaton plays a crucial role in shaping the potential. Modular invariant gaugino condensation provides the mechanism for the modulus stabilisation after inflation. The inflationary trajectory lies on the lower boundary of the fundamental domain of the modulus field $\tau$. Inflation starts near the fixed point $\tau ={\rm i}$, and ends at a point near $\tau = \omega$, which is the global de Sitter vacuum. We investigate the allowed parameter space for successful modular invariant hilltop inflation.

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Cited by 4 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. 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.

  3. 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.

  4. 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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