The mine tower and teleport tower are upgrades of the slow tower.
Build a basic slow tower, then when you go to upgrade it you can select to upgrade to an upgraded slow tower, an unarmed teleport tower or unarmed mine.
You then need to select the tower again to pay some cash to arm the tower. After each use the tower needs to be rearmed at additional cost for it to function. Both the mine and teleport tower do not block the path of units so becareful where you place them or units will just walk through the walls of your maze.