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

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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.

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Noumi, T., & Satake, H. (2022). Higher derivative corrections to black brane thermodynamics and the weak gravity conjecture. Journal of High Energy Physics, 2022(12). https://doi.org/10.1007/JHEP12(2022)130

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