Topological ModMax--AdS Black Holes: Extremality, Charge Normalization, and Limits of WGC Diagnostics

Abstract

We study four-dimensional topological anti-de Sitter black holes sourced by ModMax electrodynamics and its sign-reversed counterpart. Distinguishing the field-strength amplitude from the conserved displacement flux fixes the charge normalization, potential, and first law. We classify the exact extremal roots for spherical, planar, and hyperbolic horizons; in particular, the hyperbolic ModMax branch has no upper-charge discriminant bound and contains a finite-charge zero-mass point. We also derive the unstable spherical null circular orbit and evaluate the local near-horizon AdS₂ Breitenlohner--Freedman index for an explicitly specified charged-scalar probe. These are classical diagnostics, not a WGC verdict: the model does not specify a charged-particle spectrum, an ultraviolet completion, or the global perturbation problem. The distance and de Sitter conjectures cannot be quantitatively tested with the fixed-coupling AdS data considered here.

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BibTeX RIS

BibTeX

@misc{gashti2026topological,
  title = {{Topological ModMax--AdS Black Holes: Extremality, Charge Normalization, and Limits of WGC Diagnostics}},
  author = {Saeed Noori Gashti and Behnam Pourhassan and Saheb Soroushfar},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.28359},
  eprint = {2610.28359},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.28359},
  note = {CC BY 4.0},
}

RIS

TY  - UNPB
TI  - Topological ModMax--AdS Black Holes: Extremality, Charge Normalization, and Limits of WGC Diagnostics
AU  - Saeed Noori Gashti
AU  - Behnam Pourhassan
AU  - Saheb Soroushfar
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2610.28359
UR  - https://arxiv.org/abs/2610.28359
AB  - We study four-dimensional topological anti-de Sitter black holes sourced by ModMax electrodynamics and its sign-reversed counterpart. Distinguishing the field-strength amplitude from the conserved displacement flux fixes the charge normalization, potential, and first law. We classify the exact extremal roots for spherical, planar, and hyperbolic horizons; in particular, the hyperbolic ModMax branch has no upper-charge discriminant bound and contains a finite-charge zero-mass point. We also derive the unstable spherical null circular orbit and evaluate the local near-horizon AdS_2 Breitenlohner--Freedman index for an explicitly specified charged-scalar probe. These are classical diagnostics, not a WGC verdict: the model does not specify a charged-particle spectrum, an ultraviolet completion, or the global perturbation problem. The distance and de Sitter conjectures cannot be quantitatively tested with the fixed-coupling AdS data considered here.
ER  -

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