There is also Emotional Cheating
An "emotional affair" is an affair between two people that mimics the closeness and emotional intimacy of an affair while never being physically consummated. An emotional affair is often colloquially referred to as an affair of the heart. An emotional affair may emerge from a friendship outside the relationship, and progress toward greater levels of personal intimacy and attachment. What distinguishes an emotional affair from a friendship is the assumption of emotional roles between the two participants that mimic of those of an actual relationship - with regards to confiding personal information and turning to the other person during moments of vulnerability or need.
https://en.wikipedia.org/wiki/Emotional_affair