  It was shown in [hep-th/0503009], in the context of bosonic theory that the
IR singular terms that arise as a result of integrating out high momentum modes
in nonplanar diagrams of noncommutative gauge theory can be recovered from low
lying tree-level closed string exchanges. This follows as a natural consequence
of world-sheet open-closed string duality. Here using the same setup we study
the phenomenon for noncommutative ${\cal N}=2$ gauge theory realised on a $D_3$
fractional brane localised at the fixed point of $C^2/Z_2$. The IR
singularities from the massless closed string exchanges are exactly equal to
those coming from one-loop gauge theory. This is as a result of cancellation of
all contributions from the massive modes.
