Badiou is certainly an interesting philosopher. I have a tendency to see him as an analytic philosopher due to his set theory ontology, Platonism and conception of philosophy as a system. Yet he writes on variety of topics including love. A passage on Badiou:

Alain Badiou's concept of love stands in opposition to two traditional orientations. The first, the skeptical and classical one, which is still very powerful in psychoanalysis, is that love is only the disguise for sexual desire. Lacan gave it the following sophisticated form: love supplements the lack of a sexual relationship. The second, romantic one, postulates total fusion between the lovers, which is symbolized by their dying together. Badiou, on the other hand,considers that love is a process of truth. But what truth? A truth about the Two, about separation, about disjunction. A truth that is realized in a unique process but which has to do with difference. It is only in love that the difference between the sexes (regardless of whether the couple is homosexual or heterosexual or both) comes into the light of the True. That is why Badiou calls love "the Scene of the Two."

It is a worthwhile place to do philosophy as we, in our everyday life, swing between love as sex in consumerism and the romantic absorption on the loved other. It is very difficult to find somewhere else to stand. That is why I've always been troubled by the conception of love and its connection to human relationships and sexuality.

However I'm not persuaded that desire in Hegel's Phenomenology of Spirit can be simply coded as sexuality. Desire is the journey out to the 'other' in order to in order to know self through knowing the other. The relationship to the other is a power relationship. The movement of desire reveals a paradox, for the separate self is based on a movement of relation, albeit a negative relation. For Hegel there is no self-consciousness outside the mediations of the social.