Bootstrap bound on extremal Reissner-Nordstrom black hole in AdS

Based on the numerical conformal bootstrap bound, we show that the arbitrarily small Reissner-Nordstrom black hole in AdS space-time is inconsistent with holography unless the energy spectrum is modified quantum mechanically or it is unstable as indicated by the weak gravity conjecture. (C) 2020 The Author(s). Published by Elsevier B.V.