Large-scale magnetic fields, non-Gaussianity, and gravitational waves
  from inflation
  We explore the generation of large-scale magnetic fields in the so-called
moduli inflation. The hypercharge electromagnetic fields couple to not only a
scalar field but also a pseudoscalar one, so that the conformal invariance of
the hypercharge electromagnetic fields can be broken. We explicitly analyze the
strength of the magnetic fields on the Hubble horizon scale at the present
time, the local non-Gaussianity of the curvature perturbations originating from
the massive gauge fields, and the tensor-to-scalar ratio of the density
perturbations. As a consequence, we find that the local non-Gaussianity and the
tensor-to-scalar ratio are compatible with the recent Planck results.
