Well, it is true at the moment they are still together but people who have read the জাপানি কমিকস মাঙ্গা ব্যক্ত that they will break up season 2. But I think it's just rumor. If they did break up I honestly wouldn't mind though.
Nope!! Kirito and Asuna are still a couple. They never broke up. The rumours that they broke up and Kirito is with Leafa now are false. Sugu and Kirito are cousins / siblings... however, Leafa DOES have feelings for Kirito.. Hope this clears the misunderstanding. Kirito x Asuna 4 EVA