They are definitely interconnected, but, as you said, there's a difference between these two concepts. In my opinion, self-confidence can concern both a specific task (e.g. confidence in one's own cooking abilities) and a general perception of the self. In the first case, I think it's possible to feel confident about something without having a particularly high self-esteem, while in the second case, in my opinion, self-confidence might actually depend on self-esteem. As chuck m already said, self-esteem consists in feeling good about one's own self, so I imagine that, broadly speaking, a person with a low self esteem rarely feels genuinely self-confident.This doesn't mean they can't have a confident attitude (in the end, you can always pretend -- and people might even believe you) or that they can't be confident about a specific task. So, to sum up, I'd say that self-esteem is a perception, while self-confidence is more like an attitude, which can be related to self-esteem or not.