Journal Article

Evidence for a sublattice weak gravity conjecture

Heidenreich, Ben, Reece, Matthew, Rudelius, Tom

2017

Overview

A bstract The Weak Gravity Conjecture postulates the existence of superextremal charged particles, i.e. those with mass smaller than or equal to their charge in Planck units. We present further evidence for our recent observation that in known examples a much stronger statement is true: an infinite tower of superextremal particles of different charges exists. We show that effective Kaluza-Klein field theories and perturbative string vacua respect the Sublattice Weak Gravity Conjecture, namely that a finite index sublattice of the full charge lattice exists with a superextremal particle at each site. In perturbative string theory we show that this follows from modular invariance. However, we present counterexamples to the stronger possibility that a superextremal particle exists at every lattice site, including an example in which the lightest charged particle is subextremal. The Sublattice Weak Gravity Conjecture has many implications both for abstract theories of quantum gravity and for real-world physics. For instance, it implies that if a gauge group with very small coupling e exists, then the fundamental gravitational cutoff energy of the theory is no higher than ∼ e 1/3 M Pl .

• Publisher: Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
• Subject: AdS-CFT Correspondence / Black Holes in String Theory / Charged particles / Classical and Quantum Gravitation / Elementary Particles / Gauge Symmetry / Gravitation theory / Gravity / High energy physics / Models of Quantum Gravity / Particle physics / Physics / Physics and Astronomy / Quantum Field Theories / Quantum Field Theory / Quantum gravity / Quantum Physics / Regular Article - Theoretical Physics / Relativity Theory / String Theory