I killed monsters and it said - Gained 5 AP.
What is that exactly?
Was it during an emergency code where you have to kill mobs to gain a certain number of points?
It is Alliance Points; you gain a small amount of them for completing various things aside from just the Alliance Orders, such as completing Quests, finishing Emergency Codes, or turning in Client Orders.
@Alexandrious947 Per member, yes there is; off the top of my head it is 4500AP.