What type of screws and anchors are used for concrete?
Suitablilty of fasteners for supporting bracketry in concrete depends mostly on the weight.


light duty 0-10lbs: Screws with concrete threads, no anchors needed
(EG Tapcon and Spax)
medium duty: 10-50lbs:  anchors of plastic or lead,  
heavy duty:  50+    : sleeve and wedge anchors


There are overlaps between light and medium duty , based on screw size and depth of penetration.  Follow package directions closely.  Drill the exact size hole and depth called for, the fastener retention depends on it!