Imprints of the anisotropic inflation on the cosmic microwave background

We study the imprints of the anisotropic inflation on the CMB temperature fluctuations and polarizations. The statistical anisotropy stems not only from the direction dependence of curvature and tensor perturbations, but also from the cross-correlation between curvature and tensor perturbations, and the linear polarization of tensor perturbations. We show that off-diagonal TB and EB spectra as well as on-and off-diagonal TT, EE, BB and TE spectra are induced from the anisotropic inflation. We emphasize that the off-diagonal spectra induced by the cross-correlation could be a characteristic signature of the anisotropic inflation.