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Landscape of Modular Cosmology

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arxiv 2411.07552 v1 pith:U7JSYKQY submitted 2024-11-12 hep-th astro-ph.COgr-qchep-phmath-phmath.MP

classification hep-thastro-ph.COgr-qchep-phmath-phmath.MP
keywords half-planeinflationarypartplateaupoincarpotentialsridgesupper
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abstract

We investigate the global structure of the recently discovered family of $SL(2,\mathbb{Z})$-invariant potentials describing inflationary $\alpha$-attractors. These potentials have an inflationary plateau consisting of the fundamental domain and its images fully covering the upper part of the Poincar\'e half-plane. Meanwhile, the lower part of the half-plane is covered by an infinitely large number of ridges, which, at first glance, are too sharp to support inflation. However, we show that this apparent sharpness is just an illusion created by hyperbolic geometry, and each of these ridges is physically equivalent to the inflationary plateau in the upper part of the Poincar\'e half-plane.

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Cited by 3 Pith papers

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

  1. Ultra slow-turn inflation

    hep-th 2026-03 conditional novelty 6.0 of 10

    In slow-roll multi-field inflation, stability should be read from the total entropy perturbation, which decays in 'ultra slow-turn' models even when the isocurvature effective mass-squared is negative.

  2. Post-inflationary enhancement of adiabatic perturbations in modular cosmology

    astro-ph.CO 2025-07 conditional novelty 6.0 of 10

    In modular inflation models, entropic perturbations frozen during inflation are converted into curvature perturbations after inflation, producing an enhanced power spectrum while preserving the spectral index ns.

  3. Breaking Free from the Swampland of Impossible Universes through the DESI Portal

    astro-ph.CO 2026-05 unverdicted novelty 3.0 of 10

    DESI data indicating evolving dark energy may allow string theory to describe observed universes without violating swampland constraints on constant dark energy.

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