  We analyse various $U(1)_{EM}$ form factors of mesons at strong coupling in
an $\mathcal{N}=2$ flavored version of $\mathcal{N}=4$ $SYM$ which becomes
conformal in the UV. The quark mass breaks the conformal symmetry in the IR and
generates a mass gap. In the appropriate limit, the gravity dual is described
in terms of probe $D7$-branes in $AdS_5\times S^5$. By studying the $D7$
fluctuations we find the suitable terms in a "meson effective theory" which
allow us to compute the desired form factors, namely the $\gamma\pi\rho$ and
$\gamma f_0\rho$ transition form factors. At large $q^2$ we find perfect
agreement with the naive parton model counting, which is a consequence of the
conformal nature of both QCD and our model in the UV. By using the same tools,
we can compute the $\gamma^*\gamma^*\pi$ form factor. However this channel is
more subtle and comparisons to the QCD result are more involved.
