Derivative Corrections to Extremal Black Holes with Moduli

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, spherical...

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Bibliographic Details
Published inarXiv.org
Main Authors Etheredge, Muldrow, Heidenreich, Ben
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 17.11.2022
Subjects
Couplings
Entropy
Equations of motion
Operators (mathematics)
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Summary: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.
ISSN:2331-8422