My boyfriend and I live together but I want to break up with him but I pay for rent, do I leave the apartment?

Breakup. Not sure of your circumstances or reasons for the breakup, but suggest u seek support from friends or family members for advice.
Shouldn't he leave.. If you are paying for the apartment and you and your boyfriend break up, why would you be the one to leave? Are you financially supporting him? If this is a pattern? If so, maybe it would be helpful for you to look at the issue of co-dependence.
Legal question. Sounds like you may need an attorney or mediator for this one. Depends on who is listed on the lease, and what agreement you can make with your boyfriend.
Correct website? This is not really a medical question.