Weak gravity conjecture from conformal field theory: a challenge from hyperscaling violating and Kerr-Newman-AdS black holes

Abstract We search for a possible relationship between weak gravity conjecture (WGC) and conformal field theory (CFT) in hyperscaling violating Kerr-Newman-AdS black holes. deal with the critical points of hole systems using correlation function introduced CFT discuss WGC conditions imaginary part energy obtained from their poles. Under assumptions , d=1 \theta\rightarrow0^{-} we link to holes owing existence r_{H} values larger smaller than one. For second system, study rotation radius parameters. Then, show that are satisfied when charged particle near Kerr-Newman is \frac{1}{a} ratio \frac{a}{\ell}\ll 1 .