Chiaki recently returned from America, enrolling into an all-girls school. Her brother used to tell her stories about a "Snow Black Princess" and her adventures in a magical kingdom before he died. Seeing an opportunity, two of her seniors try to install Brain Burst on her, only to be rejected. Turns out her brother already installed it three years ago on his deathbed, and is an unknowing Avatar. 
(Source: TV Tropes)

Prepare for a full dive!
 
Even in the future, all the advances and innovation in the world can't change the dynamics of the school playground. And for Haruyuki Arita, a fat kid in junior high, that means he's destined to always be at the bottom of the food chain, prime pickings for the school bullies. But when he is approached by Kuroyukihime, a beautiful and aloof upperclassman, Haruyuki's life is turned on its head as he dives into Brain Burst, a mysterious computer program, and the Accelerated World with her help. It's in the Accel World that Haruyuki casts off his depressing reality and takes hold of the chance to become a Burst Linker, a knight to protect his princess!
 
(Source: Yen Press)

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