And by carrier, that means literally 'a Carrier' - unlike B5, where everything with a designation of 'Heavy Cruiser' or above packs a fighter wing (Primus, G'Quan, Omega, etc, etc) you need to bring an Avenger/Poseidon-style dedicated carrier with a flight deck and naff all armament.
On the plus side, this means that people who do bring fighters are likely to have an easier time of it, as there won't be walls of cheap defensive fighters to fend off.
Of course, a lot of ships are supposed to come with a shedload of gatling lasers for murdering boarding parties and cutting grapnel lines - I imagine they can probably make a nice mess of anything coming to close quarters (hence the torpedo bombers)