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A note on modular invariant species scale and potentials

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arxiv 2306.08673 v1 pith:W425K24F submitted 2023-06-14 hep-th

classification hep-th
keywords speciesscalemodularinvariantconjectureexpressiongravitinomoduli
verification ladder T0 review T1 audit T2 compute T3 formal
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The species scale provides an upper bound for the ultraviolet cutoff of effective theories of gravity coupled to a number of light particle species. We point out that modular invariant (super-)potentials provide a simple and computable expression of the species scale as a function of the moduli in toroidal orbifold compactifications of type II and heterotic string. Due to modular symmetry, these functions are valid over all moduli space and not only in asymptotic regions. We observe that additive logarithmic corrections to the species scale arise from the requirement that the latter be modular invariant. We recast the moduli-dependent expression of the species scale in terms of the gravitino mass or the scalar potential of these models and we connect it to swampland conjectures such as the anti-de Sitter distance conjecture and the gravitino conjecture.

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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. EFT & Species Scale: Friends or foes?

    hep-th 2025-01 conditional novelty 7.0 of 10

    A detailed one-loop derivation shows that the species scale can be computed consistently with infinite convergent towers of states, resolving an apparent tension between infinite towers and effective field theory.

  2. Kaluza-Klein tower thresholds and scheme dependence of the species scale

    hep-th 2026-07 accept novelty 6.5 of 10

    Leading KK-tower local corrections to four-derivative gravity are regulator-dependent EFT matching data, while log N terms are universal within proper-time cutoffs, so species-scale definitions match only parametrically.

  3. Classical Black Hole Probes of UV Scales

    hep-th 2025-02 conditional novelty 6.0 of 10

    Minimal classical BPS black holes in string compactifications track the species or KK scale in infinite-distance limits, and violations may signal inconsistent EFTs.

  4. Relative Quantum Gravity: Localized Gravity and the Swampland

    hep-th 2025-01 conditional novelty 6.0 of 10

    Localized gravity theories can violate swampland constraints, but satisfy them when defined relative to a higher-dimensional gravity completion, dubbed relative quantum gravity.

  5. Moduli Space Quantum Mechanics

    hep-th 2026-03 conditional novelty 5.0 of 10

    Moduli-space geometry induces effective potentials that localize excited quantum wavefunctions in the bulk with positive energies, even for classically runaway potentials.

  6. 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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