Natural Inflation in Supergravity and Beyond
  Supergravity models of natural inflation and its generalizations are
presented. These models are special examples of the class of supergravity
models proposed in arXiv:1008.3375 and arXiv:1011.5945, which have a shift
symmetric K\"ahler potential, superpotential linear in goldstino, and stable
Minkowski vacua. We present a class of supergravity models with arbitrary
potentials modulated by sinusoidal oscillations, similar to the potentials
associated with axion monodromy models. We show that one can implement natural
inflation in supergravity even in the models of a single axion field with axion
parameters O(1). We also discuss the irrational axion landscape in
supergravity, which describes a potential with infinite number of stable
Minkowski and metastable dS minima.
