Absolute Duo.

This is the story of Tooru Kokonoe who has enrolled at Kouryou Academy, a school which trains students in wielding Blaze, soul powered weapons to prepare them for the Dorn Agency's special peacekeeping corps. When Tooru is partnered with a mysterious girl: Julie Sigtuna, he finds he has to overcome many hurdles to ensure their teamwork and fighting skills are up to par for the duration of their training.