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  • Letter
  • Open Access

Newton vs Coulomb in AdS/CFT and the weak gravity conjecture

Upamanyu Moitra*

  • International Centre for Theoretical Physics (ICTP), Strada Costiera 11, Trieste 34151, Italy

  • *umoitra@ictp.it
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Phys. Rev. D 109, L041903 – Published 29 February, 2024

DOI: https://doi.org/10.1103/PhysRevD.109.L041903

Abstract

We study (near-)circular orbits of charged particles in the background of charged black holes in asymptotically anti–de Sitter (AdS) spacetimes of arbitrary dimensionality. We calculate the energy and angular momentum of such particles in a large-radius limit. This allows us to compute the anomalous dimension of the dual charged double-twist operators in a large-spin expansion, making a prediction for the bootstrap analysis at large charge and spin. We relate our result to the weak gravity conjecture (WGC) for AdS black holes of all sizes. We also discuss the relation of WGC with the existence of the innermost stable circular orbit (ISCO) in any dimension.

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  19. This relation might strike some readers as the opposite of the usual WGC statement in which the inverse ratio, i.e., (Q/M)ext appears. We emphasize that this discussion is not about self-repulsive particles, but about particles in a black hole background.

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Phys. Rev. D 109, L041903– Published 29 February, 2024
  • Received 29 June 2023
  • Accepted 5 February 2024
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