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Black Holes as Probes of Moduli Space Geometry
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Black Holes as Probes of Moduli Space Geometry
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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.
Forward citations
Cited by 2 Pith papers
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Optimal paths across potentials on scalar field space
Optimal transport yields a generalized Wasserstein distance on field space, obtained from a WKB expansion of a Schrödinger equation and extended to dynamical gravity via the Wheeler-DeWitt equation in the ADM formalism.
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The Fate of Black Hole-Induced Moduli Excursions in the Presence of Scalar Potentials
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.
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