Monodromic Dark Energy
  Since the discovery of the accelerated expansion of the Universe, the
constraints on the equation of state $w_\text{DE}$ of dark energy, the
stress-energy component responsible for the acceleration, have tightened
significantly. These constraints generally assume an equation of state that is
slowly varying in time. We argue that there is good theoretical motivation to
consider "monodromic" scenarios with periodic modulations of the dark energy
potential. We provide a simple parametrization of such models, and show that
these leave room for significant, periodic departures of $w_\text{DE}$ from -1.
Moreover, simple models with non-standard kinetic term result in interesting
large-scale structure phenomenology beyond that of standard slow-roll dark
energy. All these scenarios are best constrained in a dedicated search, as
current analyses average over relatively wide redshift ranges.
