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.

arXiv comment10 pages

References in corpus (27)

• The String Landscape, Black Holes and Gravity as the Weakest Force
• The Swampland: Introduction and Review
• The Conformal Bootstrap: Theory, Numerical Techniques, and Applications
• Conformal Partial Waves and the Operator Product Expansion
• Bootstrapping the O(N) Vector Models
• The evolution of unstable black holes in anti-de Sitter space
• Carving Out the Space of 4D CFTs
• Wormholes, Emergent Gauge Fields, and the Weak Gravity Conjecture
• Evidence for a Lattice Weak Gravity Conjecture
• The Weak Gravity Conjecture in three dimensions
• Bounds in 4D Conformal Field Theories with Global Symmetry
• Testing the Weak Gravity -- Cosmic Censorship Connection
• Improved bounds for CFT's with global symmetries
• Diagonal Limit for Conformal Blocks in d Dimensions
• Universal Bounds on Charged States in 2d CFT and 3d Gravity
• Stability of higher dimensional Reissner-Nordstrom-anti-de Sitter black holes
• A Holographic Derivation of the Weak Gravity Conjecture
• Weak Gravity Conjecture in AdS/CFT
• Conformal Bootstrap At Large Charge
• On the CFT Operator Spectrum at Large Global Charge
• Non-Abelian Binding Energies from the Lightcone Bootstrap
• Weak gravity conjecture in the asymptotical dS and AdS background
• An AdS/EFT correspondence at large charge
• Putting the Boot into the Swampland
• Instability of Charged Anti-de Sitter Black Holes
• Higher-Derivative Corrections to Entropy and the Weak Gravity Conjecture in Anti-de Sitter Space
• Large N Gauge Theories with a Dense Spectrum and the Weak Gravity Conjecture

Cited by in corpus (10)

• Selected Topics in the Large Quantum Number Expansion
• The Weak Gravity Conjecture Requires the Existence of Exotic AdS Black Holes
• Repulsive Black Holes and Higher-Derivatives
• Revisiting the AdS Boson Stars: the Mass-Charge Relations
• Classification of large N superconformal gauge theories with a dense spectrum
• A counterexample to the CFT convexity conjecture
• Extremal Bifurcations of Rotating AdS${}_4$ Black Holes
• Holographic Dual of The Weak Gravity Conjecture
• On the exponentially small corrections to $\mathcal{N}=2$ superconformal correlators at large R-charge
• Extremal Instability for Topological Black Holes