The correlation of WGC and hydrodynamics bound with R4 correction in the charged AdS[formula omitted] black brane

Abstract

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 MQ to extremal black holes. Likewise, we also obtain the universal relaxation bound τ≥1πT and KSS bound ηs≥14π 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.