In this paper, we explore a detectable imprint of massive fields with integer
spins s≥2, which may be predicted from string theory. It was shown that
such a massive non-zero spin field can generate the squeezed primordial
bispectrum which depends on the angle between the two wavenumbers. We show that
considering the contribution from the massive spin-2 field, the angular
dependent primordial non-Gaussianity (PNG) yields a strong scale dependence in
the bias parameter for the galaxy alignment, which becomes prominent at small
scales. As another example of an angular dependent PNG, we also consider the
primordial bispectrum where the angular dependence was introduced by a vector
field, while breaking the global rotational symmetry. As a consequence, we find
that the B-mode cosmic shear and non-diagonal components do not vanish. These
aspects provide qualitative differences from the PNG sourced by massive
non-zero spin fields.Comment: 33 pages, 8 figure