Axion Experiments to Algebraic Geometry: Testing Quantum Gravity via the Weak Gravity Conjecture

Understand

Common features of known quantum gravity theories may hint at the general nature of quantum gravity.

• The absence of continuous global symmetries is one such feature.
• This inspired the Weak Gravity Conjecture, which bounds masses of charged particles.
• We propose the Lattice Weak Gravity Conjecture, which further requires the existence of an infinite tower of particles of all possible charges under both abelian and nonabelian gauge groups and directly implies a cutoff for quantum field theory.