  The origin of the nematic state is an important puzzle to be solved in iron
pnictides. Iron superconductors are multiorbital systems and these orbitals
play an important role at low energy. The singular $C_4$ symmetry of $d_{zx}$
and $d_{yz}$ orbitals has a profound influence at the Fermi surface since the
$\Gamma$ pocket has vortex structure in the orbital space and the X/Y electron
pockets have $yz$/$zx$ components respectively. We propose a low energy theory
for the spin--nematic model derived from a multiorbital Hamiltonian. In the
standard spin--nematic scenario the ellipticity of the electron pockets is a
necessary condition for nematicity. In the present model nematicity is
essentially due to the singular $C_4$ symmetry of $yz$ and $zx$ orbitals. By
analyzing the ($\pi, 0$) spin susceptibility in the nematic phase we find
spontaneous generation of orbital splitting extending previous calculations in
the magnetic phase. We also find that the ($\pi, 0$) spin susceptibility has an
intrinsic anisotropic momentum dependence due to the non trivial topology of
the $\Gamma$ pocket.
