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We construct backreacted D3/D7 supergravity backgrounds  which are dual to four-dimensional  N = 1 and  N = 2  supersymmetric Yang-Mills at large  Nc with flavor quarks in the  fundamental representation of SU (Nc).  We take into account  the backreaction of D7-branes on either AdS 5 × S5 or AdS 5 × T1,1, or more generically on backgrounds where the space  transverse to the D3-branes is Kähler.  The construction of the  backreacted geometry splits into two stages.  First we determine the  modification of the six-dimensional space transverse to the D3 due  to the D7, and then we compute the warp factor due to the D3.  The  N = 2 background corresponds to placing a single stack of   Nf D7-branes in AdS 5 × S5. Here the Kähler potential is  known exactly, while the warp factor is obtained in certain limits as  a perturbative expansion.  By placing another D7 ′ probe in the  backreacted D3/D7 background, we derive the effect of the D7-branes on  the spectrum of the scalar fluctuations to first order in  Nf.  The  two systems with  N = 1 supersymmetry that we discuss are  D3/D7/D7' and D3/D7 on the conifold. In both cases, the Kähler  potential is obtained perturbatively in the number of D7-branes. We  provide all the ingredients necessary for the computation of each term  in the expansion, and in each case give the first few terms  explicitly.  Finally, we comment on some aspects of the dual gauge  theories

Holographic Duals of FlavoredN=1 Super Yang-Mills: Beyond the Probe Approximation