Holographic Dual of The Weak Gravity Conjecture

Abstract

The much-discussed \emph{Weak Gravity Conjecture} is interesting and important in both the asymptotically flat and the asymptotically AdS contexts. In the latter case, it is natural to ask what conditions it (and the closely related Cosmic Censorship principle) imposes, via gauge-gravity duality, on the boundary field theory. We find that these conditions take the form of lower bounds on the number of colours in this theory: that is, the WGC and Censorship might (depending on the actual sizes of the bounds) enforce the familiar holographic injunction that this number should be "large". We explicitly estimate lower bounds on this number in the case of the application of holography to the quark-gluon plasma produced in heavy ion collisions. We find that classical Censorship alone prohibits realistically small values for the number of colours, but that the WGC offers hope of resolving this problem.

(Many) references added, 20 pages, 3 figures

References in corpus (17)

• The Swampland: Introduction and Review
• A Universal Relation Between Corrections to Entropy and Extremality
• Gravitational duals to the grand canonical ensemble abhor Cauchy horizons
• Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids
• Holographic drag force in 5d Kerr-AdS black hole
• The nuclear liquid-gas phase transition at large $N_c$ in the Van der Waals approximation
• Identified particle production and freeze-out properties in heavy-ion collisions at RHIC Beam Energy Scan program
• Dynamic universality class of large-N gauge theories
• Glimpses of Violation of Strong Cosmic Censorship in Rotating Black Holes
• Highlights from STAR heavy ion program
• Bootstrap bound on extremal Reissner-Nordström black hole in AdS
• ${\alpha }^{\prime }$ corrections of Reissner-Nordström black holes
• "QM19 summary talk": Outlook and future of heavy-ion collisions
• Global Polarization Effect in the Extremely Rapidly Rotating QGP in HIC
• The Charge of Electron, Weak Gravity Conjecture and Black Hole Evolution
• Mode stability of a near-extremal Kerr superspinar
• Exploring QCD Matter at High Baryon Density

Cited by in corpus (5)

• Higher-derivative holography with a chemical potential
• The Weak Gravity Conjecture Requires the Existence of Exotic AdS Black Holes
• Extremal Bifurcations of Rotating AdS${}_4$ Black Holes
• Planar Black Holes as a Route to Understanding the Weak Gravity Conjecture
• Extremal Instability for Topological Black Holes