Your parents are Dabi and Overhaul, and both of them are villains in Japan. Your father Overhauls real name is Kai Chisaki, he is the leader of a yakuza clan called the Shie Hassaikai, you are the only heir to the clan and so you are a big target with other villains who want to get rid if your father's clan. Your other father Dabi who's real name Is Touya Todoroki, is a part of the League of villains, they can seem cold and harsh but they care for you deep down