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We examine the static potential in the presence of flavors in theperturbative backreacted D4/D8 system from localized D8 branes, focusing inparticular on the Sakai-Sugimoto model. For the case of long strings we findthe flavor corrections to the static potential which are of exponential form.We then investigate shorter Wilson loops and express their energy analyticallyin terms of the lengths of two neighboring Wilson loops. Moreover, we find thatthe static force for all the cases in the backreacted background is reducedcompared to one in the probe limit, as expected due to screening effects. Wealso compare the string world-sheets in the two backgrounds and find how theyget modified by the backreaction. Our results are supported by numericalcomputations as well. Finally we discuss our results in comparison with thelattice data and comment on the issue of physical scales which seem to lie atthe heart of the reason that obstructs our model at this level to fullydescribe QCD.

Flavor Corrections in the Static Potential in Holographic QCD