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Moduli-dependent Species Scale

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arxiv 2212.06841 v1 pith:QRJDCTZF submitted 2022-12-13 hep-th

Damian van de Heisteeg , Cumrun Vafa , Max Wiesner , David H. Wu This is my paper · ORCID
classification hep-th
keywords scalespeciespointdefinegravitationallightmodulimoduli-dependent
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The counting of the number of light modes in a gravitational theory is captured by the notion of the `species scale', which serves as an effective UV cutoff below the Planck scale. We propose to define a moduli-dependent species scale in the context of 4d, ${\cal N}=2$ theories, using the one loop topological free energy $F_1$, which we relate to a gravitational version of the $a$-function. This leads to $\Lambda_{\rm sp}\sim 1/\sqrt{F_1}$ from which we recover the expected scaling of the species scale in various corners of the moduli space. Moreover by minimizing $F_1$ we define the center of the moduli space (the `desert point') as a point where the species scale is maximal. At this point the number of light degrees of freedom is minimized.

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Forward citations

Cited by 13 Pith papers

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

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    hep-th 2026-07 conditional novelty 7.0 of 10

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    hep-th 2026-01 conditional novelty 7.0 of 10

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  3. Co-Scaling and Alignment of Electric and Magnetic Towers

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  4. Black Hole Entropy, Quantum Corrections and EFT Transitions

    hep-th 2025-02 conditional novelty 7.0 of 10

    Quantum corrections to BPS black hole entropy in 4d N=2 string compactifications can be resummed into a finite formula that interpolates between four- and five-dimensional EFT descriptions and matches exact 5d microst...

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

    hep-th 2026-07 accept novelty 6.5 of 10

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  6. IR Black Hole Instabilities Trigger Species-Scale Particle Production

    hep-th 2026-08 conditional novelty 6.0 of 10

    A mechanism is proposed in which black hole instability at the tower scale converts a fraction of the mass into particles at the species scale, with Hawking evaporation subdominant.

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    hep-th 2026-07 conditional novelty 6.0 of 10

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  8. 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.

  9. Inflationary Particle Production and the Swampland

    hep-th 2025-12 conditional novelty 6.0 of 10

    Tower-induced corrections to inflationary observables scale as (H/Λsp)^{2+p} and are negligible whenever H≪Λsp.

  10. 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.

  11. 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.

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

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

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  13. A short overview on the Black Hole-Tower Correspondence and Species Thermodynamics

    hep-th 2025-06 conditional novelty 2.0 of 10

    A review of the black hole-tower correspondence and species thermodynamics, which aim to explain black hole entropy via towers of light states and to show only certain towers are allowed.

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