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We investigate the effects of the presence of relic classical superhorizoninhomogeneities during inflation. This superhorizon inhomogeneity appears as agradient locally and picks out a preferred direction. Quantum fluctuations onthis slightly inhomogeneous background are generally statistical anisotropic.We find a quadrupole modification to the ordinary isotropic spectrum. Moreover,this deviation from statistical isotropy is scale-dependent, with a $\sim-1/k^2$ factor. This result implies that the statistical anisotropy mainlyappears on large scales, while the spectrum on small scales remains highlyisotropic. Moreover, due to this $-1/k^2$ factor, the power on large scales issuppressed. Thus, our model can simultaneously explain the observed anisotropicalignments of the low-$\ell$ multipoles and their low power.

Can Relic Superhorizon Inhomogeneities be Responsible for Large-Scale CMB Anomalies?