Distance and de Sitter Conjectures on the Swampland
  Among Swampland conditions, the distance conjecture characterizes the
geometry of scalar fields and the de Sitter conjecture constrains allowed
potentials on it. We point out a connection between the distance conjecture and
a refined version of the de Sitter conjecture in any parametrically controlled
regime of string theory by using Bousso's covariant entropy bound. The refined
version turns out to evade all counter-examples at scalar potential maxima that
have been raised. We comment on the relation of our result to the Dine-Seiberg
problem.
