  In this note, we study the deformation of the topological string by
$\bar\Omega$. Namely, adopting the perturbative string amplitudes approach, we
identify the $\bar\Omega$-deformation in terms of a physical state in the sting
spectrum. We calculate the topological amplitudes $F_g$ in heterotic string
theory in the presence of the latter. In particular, we show that it is crucial
to include quadratic terms in the effective action in order for $\bar\Omega$ to
decouple. It turns out that this decoupling happens at the full string level,
suggesting that this holds non-perturbatively.
