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Kirito gets attacked IRL by some ally of the DaethGun guy with that medicine that kills you fast, and is take to hospital but in reality's he's taken to some secret facility in the middle of the ocean (that floats like an oil derrick) where he's put in a machine that messes with his nerves and cures him via expiriencing a 2nd life on a virtual world (the one the arc takes place in). In the meantime Asuna looks for him and ends up in that facility can thought the story so far talks with the proffessors in intermission chapters of the main story. The main story is that Kirito lives as someone else in that world. The world in that game is in middle ages with knights, evil monsters like orcs, dragon, magic and swords. The world in split in 2, the evil area (forgot the name) which if a good tries to enter burns or something, and the good one. Kirito is born in a village far away from the ccapital of the world but kinda close to the border of the evil part. He gets to meet an other guy around his age called Eugeo i think who is "tasked" by some law thing to chop a huge tree thought his life, like his father and grandpa did, and he does that since he was 12 and now he's 15 or 16. In that world there's some world law which orders for those that pass to the evil area to get prisonned near the capital after arrest by the Intergrity Knights (some knights riding dragons). Kirito finds a way to cut the tree fast, and there's a sword inside it, or at the top of it - i dont remember - and so they start journey for to become this kind of knights themselves so that they can save a girl, named Alice, that was prisonned after crossing for a step the evil area when Kirito, Eogeo and her were little. and so they go into some sword academy to train, pass exams and get promoted to some other school after which you become knight.
Meanwhile Asuna has reached the facility and talks with the woman hinted at the end of the Mother Rosario and some other prof, both of which were colleagues of Kayaba Akihiko in the past. as well as with Kirigaya (they guy you saw at Extra Edition and GGO's ep 1 and 24 talking with Kirito), and learns that this is an experiment aimed to develop a new type of AIs that are not just NPCs but normal personalities without body, in order to insert them to war rabots for piloting them. And so the reason Kirito is in there is a) to cure his body from the toxin b) so that they can see how a real human reacts with the NPCs - ALL people in that world are like that - and the reason there are so many strinct laws in that world is because the scientists want them to try to not obey them, because if they dont they cant be used for killing when inserted in robots. The machine he's in messes with something called "fluctlights" that's into the spine and holds some sort of memories.
And so Kirito and Eogeo's next school is near that capital city, which is devided in 4 districts, where there are nobles that are close to king, some other kind of lower nobles and normal people. The nobles generally look down on the prementhioned, and so in that school Kirito Eogeo and some other girls they meet later are normal and some of their tutors and some other spoiled guys are noble. There are some insidents between them which I think are not worth menthioning, and them somehow they both disobey one of the rules of the world law and are taken into prison by the Alice girl who is now a Kinght and remembers nothing of the past. They break free, and start searhing for the girl and the man their believe that controls the world from a high tower (Kirito believes he is an IRL person from the scientists team, who he can contact ot figure out what's happening) This is until half vol 12 of the novel where I have read, and now the novel is at vol 15. Alicization is volumes 8- 15 and counting. As you can see for during at least where i have reaches the battles are extremely rare and (there's only a tournament - exam that could have and some orc fight) and to see how much this is, season 1 was volumes 1 and 2 and some side-stories for the first SAO and vol 3, 4 for ALO, vols 5-6 for GGO and 7 for Mothers Rosario. while Alicazation takes 7 more chapters so far which means 2 more season of anime if they dont shorten the story, and its gonna be grunty "snorefest" for sure
Sword Art Online 8: Early and Late
Sword Art Online 9: Alicization Beginning
Sword Art Online 10: Alicization Running
Sword Art Online 11: Alicization Turning
Sword Art Online 12: Alicization Rising
Sword Art Online 13: Alicization Dividing
Sword Art Online 14: Alicization Uniting
Sword Art Online 15: Alicization Invading