We study higher derivative corrections to black brane thermodynamics and
    their implications for the weak gravity conjecture for higher form symmetries.
    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 higher form symmetries in general spacetime

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