  The apparent alignment of the cosmic microwave background multipoles on large
scales challenges the standard cosmological model. Scalar field inflation is
isotropic and cannot account for the observed alignment. We explore the
imprints, a non-standard spinor driven inflation would leave on the cosmic
microwave background anisotropies. We show it is natural to expect an
anisotropic inflationary expansion of the Universe which has the effect of
suppressing the low multipole amplitude of the primordial power spectrum, while
at the same time to provide the usual inflationary features.
