Effective field theory of statistical anisotropies for primordial
  bispectrum and gravitational waves
  We present the effective field theory studies of primordial statistical
anisotropies in models of anisotropic inflation. The general action in unitary
gauge is presented to calculate the leading interactions between the gauge
field fluctuations, the curvature perturbations and the tensor perturbations.
The anisotropies in scalar power spectrum and bispectrum are calculated and the
dependence of these anisotropies to EFT couplings are presented. In addition,
we calculate the statistical anisotropy in tensor power spectrum and the
scalar-tensor cross correlation. Our EFT approach incorporates anisotropies
generated in models with non-trivial speed for the gauge field fluctuations and
sound speed for scalar perturbations such as in DBI inflation.
