Monodromy inflation and an emergent mechanism for stabilising the
  cosmological constant
  We show that a pair of field theory monodromies in which the shift symmetry
is broken by small, well motivated deformations, naturally incorporates a
mechanism for cancelling off radiative corrections to the cosmological
constant. The lighter monodromy sector plays the role of inflation as well as
providing a rigid degree of freedom that acts as a dynamical counterterm for
the cosmological constant. The heavier monodromy sector includes a rigid
dilaton that forces a global constraint on the system and the cancellation of
vacuum energy loops occurs at low energies via the sequestering mechanism. This
suggests that monodromy constructions in string theory could be adapted to
incorporate mechanisms to stabilise the cosmological constant in their low
energy descriptions.
