We consider the holographic entanglement entropy in N=4 SYM coupled to
massive flavor degrees of freedom. The flavors are introduced by putting
D7 branes in AdS_5. The resulting geometry including the backreaction of
the branes is known in a perturbation expansion in the ratio N_f/N_c. We
consider the expansion to first order, and compute the entanglement
entropy of a region of the boundary. We consider two different cases for
the geometry of the region: a slab and a ball. We find analytic solutions
for the minimal surface in the bulk whose area gives the entropy, and
analyze the structure of the UV divergence and the dependence on the
masses. Our results confirm the general structure that was predicted by
free field theory calculations, but with coefficients that depend on the
coupling. The presentation will be based on the paper arXiv:1310.4549.