Higher derivative corrections to black brane thermodynamics and the weak gravity conjecture

Abstract

We study higher derivative corrections to black brane thermodynamics and their implications for the weak gravity conjecture for $p$-form gauge fields. In particular we show that higher derivative corrections decrease tension-to-charge ratios of extremal black branes as implied by the weak gravity conjecture, if four-derivative couplings follow scattering positivity bounds. We also demonstrate that entropy corrections in the micro canonical ensemble are positive under the same assumptions. This extends earlier works in the Einstein-Maxwell theory to $p$-form gauge fields in general spacetime dimensions.

22 pages, 1 figure; v2: references added, minor corrections; v3: minor corrections

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• Black Hole Extremality in Nonlinear Electrodynamics: A Lesson for Weak Gravity and Festina Lente Bounds
• Background subtraction method is not only much simpler, but also as applicable as covariant counterterm method
• Higher derivative corrections to Kerr-AdS black hole thermodynamics
• First order corrections to black hole thermodynamics: a simple approach enhanced
• $R^2$ corrections to the black string instability and the boosted black string
• Force-free higher derivative Einstein-Maxwell theory and multi-centered black holes
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Solar System Constraints on Light Propagation from Higher Derivative Corrections to General Relativity and Implications for Fundamental Physics
• Quantum gravitational corrections to Reissner-Nordström black hole thermodynamics and their implications for the weak gravity conjecture