Localized Backreacted Flavor Branes in Holographic QCD

Understand

We investigate the perturbative (in $g_s N_{D8}$) backreaction of localized D8 branes in D4-D8 systems including in particular the Sakai Sugimoto model.

• We write down the explicit expressions of the backreacted metric, dilaton and RR form.
• We find that the backreaction remains small up to a radial value of $u \ll \ell_s/(g_s N_{D8})$, and that the background functions are smooth except at the D8 sources.
• In this perturbative window, the original embedding remains a solution to the equations of motion.