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Black Holes as Probes of Moduli Space Geometry

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arxiv 2212.08676 v3 pith:TMT2YXP2 submitted 2022-12-16 hep-th

Matilda Delgado , Miguel Montero , Cumrun Vafa This is my paper · ORCID
classification hep-th
keywords modulispaceblackgeometryprobesattractorawayhole
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abstract

We argue that supersymmetric BPS states can act as efficient finite energy probes of the moduli space geometry thanks to the attractor mechanism. We focus on 4d $\mathcal{N}=2$ compactifications and capture aspects of the effective field theory near the attractor values in terms of physical quantities far away in moduli space. Furthermore, we illustrate how the standard distance in moduli space can be related asymptotically to the black hole mass. We also compute a measure of the resolution with which BPS black holes of a given mass can distinguish far away points in the moduli space. The black hole probes may lead to a deeper understanding of the Swampland constraints on the geometry of the moduli space.

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Cited by 4 Pith papers

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

  1. Adiabatic Deformations of Black Hole Moduli: I. Canonical Slices and Fredholm Solvability

    hep-th 2026-08 conditional novelty 8.0 of 10

    The leading adiabatic response of a static black hole to a slowly varying external scalar exists and is unique exactly when a single matching condition on the kernel generator is nonzero.

  2. The Fate of Black Hole-Induced Moduli Excursions in the Presence of Scalar Potentials

    hep-th 2026-07 conditional novelty 6.0 of 10

    Black-hole moduli throats survive or fail according to how a potential’s force, sign, oscillations, or barrier distance behave along the GHS scalar trajectory, not by the mere presence of a mass.

  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. Adiabatic Deformations of Black Hole Moduli: II. The Magnetic GHS Family

    hep-th 2026-08 conditional novelty 5.0 of 10

    For slowly forced magnetic GHS black holes in massless Einstein-Maxwell-dilaton theory, the leading quasi-static response is constructed exactly and shown to be unique when the matching functional is the leading large...

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