Aromanticism is when a person does not experience romantic attraction. There are many kinds of aromanticism, of course, and some of these are: gray-romantic, demiromantic, and lithromantic.
Aromantics are not necessarily asexual, but they may be.
One headway aromantics have made is the development of queerplatonic (or, alternately, quirkyplatonic) relationships. Queerplatonic relationships are built on profound but not romantic love. Some people in these relationships consider themselves to be life partners. This kind of love and relationship is different from simple friendly love or romantic love.