Bootstrap bound on extremal Reissner-Nordström black hole in AdS

Abstract

Based on the numerical conformal bootstrap bound, we show that the arbitrarily small Reissner-Nordström 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.

10 pages

References in corpus (5)

• The Swampland: Introduction and Review
• The Weak Gravity Conjecture in three dimensions
• Bounds in 4D Conformal Field Theories with Global Symmetry
• Stability of higher dimensional Reissner-Nordstrom-anti-de Sitter black holes
• Weak gravity conjecture in the asymptotical dS and AdS background

Cited by in corpus (1)

• On the exponentially small corrections to $\mathcal{N}=2$ superconformal correlators at large R-charge