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Abstract
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This paper focuses on the possible correlation between conjectures KSS bound and weak gravity conjecture (WGC). The hydrodynamic values KSS bound and weak gravity conjecture constraint the low-energy effective field theory. These conjectures identify UV complete theories. We give four, six, and eight order derivative corrections to the corresponding action and employ the hyperscaling violating charged AdSd+2 black brane solution. These corrections lead us to find a correlation between conjectures KSS bound and weak gravity conjecture. We see that, with increasing perturbation correction, this correlation is more likely to appear. We consider dynamical constant z = 1, d = 5 and obtain the range of hyperscaling violation exponent d +z−2 ≤ θ ≤ d +z−1 for the above mentioned black brane. Here, we show that higher derivative corrections reduce the ratio of M Q to extremal black holes. Likewise, we also obtain the universal relaxation bound τ ≥ 1 πT and KSS bound η s ≥ 1 4π for our model. The results indicate a possibility of a relationship between the two conjectures. Our studies also show the consistency of WGC and KSS bound conjectures for all corrections (except curvature-cubed, β2) in the extremal and near-extremal conditions.
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