Sharpening the Distance Conjecture in Diverse Dimensions
Tom Rudelius (University of California, Berkeley)
The Distance Conjecture holds that any infinite-distance limit in the scalar field moduli space of a consistent theory of quantum gravity must be accompanied by a tower of light particles whose masses scale exponentially with proper field distance. While the evidence for this conjecture is formidable, there is at present no consensus on which values of of the decay rate are allowed. In this talk, I will propose a sharp lower bound on this decay rate in d spacetime dimensions. I will provide several lines of evidence for this bound and discuss its implications for scalar field potentials and cosmology.