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Merging the Weak Gravity and Distance Conjectures Using BPS Extremal Black Holes

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arxiv 2004.10768 v2 pith:45Q6SIOI submitted 2020-04-22 hep-th

Naomi Gendler , Irene Valenzuela This is my paper · ORCID
classification hep-th
keywords distancestatesblackboundgaugeinfinitebecomescharge-to-mass
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We analyze the charge-to-mass structure of BPS states in general infinite-distance limits of $\mathcal{N}=2$ compactifications of Type IIB string theory on Calabi-Yau three-folds, and use the results to sharpen the formulation of the Swampland Conjectures in the presence of multiple gauge and scalar fields. We show that the BPS bound coincides with the black hole extremality bound in these infinite distance limits, and that the charge-to-mass vectors of the BPS states lie on degenerate ellipsoids with only two non-degenerate directions, regardless of the number of moduli or gauge fields. We provide the numerical value of the principal radii of the ellipsoid in terms of the classification of the singularity that is being approached. We use these findings to inform the Swampland Distance Conjecture, which states that a tower of states becomes exponentially light along geodesic trajectories towards infinite field distance. We place general bounds on the mass decay rate $\lambda$ of this tower in terms of the black hole extremality bound, which in our setup implies $\lambda \geq 1/\sqrt{6}$. We expect this framework to persist beyond $\mathcal{N}=2$ as long as a gauge coupling becomes small in the infinite field distance limit.

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Cited by 6 Pith papers

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  1. EFT (String) Tower Building

    hep-th 2026-07 conditional novelty 7.0 of 10

    Assuming the Integral Scaling Relation and the Emergent String Conjecture, the Kähler potential fixes the UV tower spectrum, and every admissible degree-≤7 tower polytope is a slice of the M-theory G2 polytope.

  2. The Boundary of Symmetric Moduli Spaces and the Swampland Distance Conjecture

    hep-th 2025-08 unverdicted novelty 7.0 of 10

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

    hep-th 2025-05 conditional novelty 7.0 of 10

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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...

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    hep-th 2025-12 conditional novelty 6.0 of 10

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  6. 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.

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