A relation where two people love each other but are not committed is often referred to as a "casual relationship" or "non-exclusive relationship." In this type of relationship, the individuals involved may have romantic feelings for each other, enjoy spending time together, and share emotional intimacy, but they have not made a formal commitment to exclusivity, such as being boyfriend and girlfriend or partners.
Casual relationships are characterized by a more relaxed approach to dating, and the involved parties may be open to dating other people simultaneously. It is essential for both individuals to communicate openly and honestly about their intentions and expectations in such a relationship to ensure that both parties are on the same page and no one gets hurt. Keep in mind that these terms and definitions can vary between individuals and cultures, so it's always essential to clarify the specific understanding and expectations in any relationship.