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Catch-Me-If-You-Can: The Overshoot Problem and the Weak/Inflation Hierarchy

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arxiv 2207.00567 v3 pith:3CRAURTS submitted 2022-07-01 hep-th astro-ph.COhep-ph

classification hep-thastro-ph.COhep-ph
keywords hierarchyweakinflationovershootproblemstringcosmologydensity
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study the overshoot problem in the context of post-inflationary string cosmology (in particular LVS). LVS cosmology features a long kination epoch as the volume modulus rolls down the exponential slope towards the final minimum, with an energy density that scales as $m_s^4$. This roll admits attractor tracker solutions, and if these are located the overshoot problem is solved. We show that, provided a sufficiently large hierarchy exists between the inflationary scale and the weak scale, this will always occur in LVS as initial seed radiation grows into the tracker solution. The consistency requirement of ending in a stable vacuum containing the weak hierarchy therefore gives a preference for high inflationary scales -- an anthropic argument, if one likes, for a large inflation/weak hierarchy. We discuss various origins, both universal and model-dependent, of the initial seed radiation (or matter). One particularly interesting case is that of a fundamental string network arising from brane inflation -- this may lead to an early epoch in which the universe energy density principally consists of gravitational waves, while an LVS fundamental string network survives into the present universe.

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Cited by 5 Pith papers

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

  1. Self-Tracking Solutions for Asymptotic Scalar Fields

    hep-th 2025-07 conditional novelty 7.0 of 10

    The self-perturbations of a scalar field on an exponential potential can act as an effective radiation background, producing a self-tracking solution with the familiar radiation tracker fixed point.

  2. Gravitational Waves from Multiple Cosmic Superstrings and the Overshoot Problem

    hep-th 2026-07 conditional novelty 6.0 of 10

    A string-theory model with three cosmic superstring species solves the modulus overshoot problem via gravitational-wave friction and predicts a high-frequency multi-peaked stochastic gravitational-wave spectrum.

  3. Suppressing Extra-Dimensional Axion Isocurvature Dynamically

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    Radion dynamics in warped 5D models enhance the axion decay constant during inflation, satisfying CMB isocurvature bounds at higher Hubble scales while restoring the QCD window afterward.

  4. Background instability of quintessence model in light of entropy and distance conjecture

    hep-th 2026-01 conditional novelty 6.0 of 10

    An entropy comparison shows quintessence backgrounds with a finite event horizon are unstable, equating the trans-Planckian censorship bound with a species-entropy growth condition.

  5. Coexisting Flux String Vacua from Numerical K\"ahler Moduli Stabilisation

    hep-th 2025-07 conditional novelty 5.0 of 10

    Numerical scans of Type IIB compactifications find single scalar potentials containing coexisting KKLT/LVS and Kahler-uplifted/LVS minima, including AdS, Minkowski, and dS pairs.

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