Holographic pole – skipping of flavor branes

In this paper, we investigate special points in which poles of the Green’s function of the D3/D7 branes are skipping. The system that we consider is 𝑆𝑈(𝑁𝑐) 𝒩 = 4 SYM theory coupled to 𝑁𝑓 flavors 𝒩 = 2 hypermultplets. We fluctuate the scalar field and find that there is no such special values of frequency and momentum to skip the poles. This behavior is different than scalar field in the AdS black brane background.