Designing Anisotropic Inflation with Form Fields
  We study inflation with anisotropic hair induced by form fields. In four
dimensions, the relevant form fields are gauge (one-form) fields and two-form
fields. Assuming the exponential form of potential and gauge kinetic functions,
we find new exact power-law solutions endowed with anisotropic hair. We also
explore the phase space of anisotropic inflation and find fixed points
corresponding to the exact power-law solutions. Moreover, we perform the
stability analysis around the fixed points to reveal the structure of the phase
space. It turns out that one of the fixed points becomes an attractor and
others (if any) are saddle points. In particular, the one corresponding to
anisotropic inflation becomes an attractor when it exists. We also argue that
various anisotropic inflation models can be designed by choosing coupling
constants.
