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Derivative Corrections to Extremal Black Holes with Moduli

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arxiv 2211.09823 v1 pith:MM33FJBY submitted 2022-11-17 hep-th

Muldrow Etheredge , Ben Heidenreich This is my paper · ORCID
classification hep-th
keywords blackcorrectionsextremalformulashigher-derivativeholesmodulicouplings
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We derive formulas for the leading mass, entropy, and long-range self-force corrections to extremal black holes due to higher-derivative operators. These formulas hold for black holes with arbitrary couplings to gauge fields and moduli, provided that the leading-order solutions are static, spherically-symmetric, extremal, and have nonzero horizon area. To use these formulas, both the leading-order black hole solution and the higher-derivative effective action must be known, but there is no need to solve the derivative-corrected equations of motion. We demonstrate that the mass, entropy and self-force corrections involve linearly-independent combinations of the higher-derivative couplings at any given point in the moduli space, and comment on their relations to various swampland conjectures.

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Cited by 3 Pith papers

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  1. Taxonomy of branes in infinite distance limits

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    Under the Emergent String Conjecture and a no-sliding assumption, particle and brane charges must sit on a finite set of lattices, reproducing known string spectra and predicting new branes.

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    Causality on 5d charged shockwaves gives positivity bounds on four-derivative Einstein-Maxwell couplings, with gravity weakening the pure-field-theory bounds and near-horizon photons providing the strongest constraints.

  3. Quantum Corrections and Extremality: A Generalized Universal Relation

    hep-th 2025-04 conditional novelty 4.0 of 10

    For any entropy function S(r_h), the Goon-Penco extremality ratio equals d(pi r_h^2)/dS, so the original relation survives only for the area law.

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