difference between "to summarize" and "to recap"
recap: state again as a summary; recapitulate: a way of recapping the story so far | [ no obj. ] : to recap, it’s been a year full of ups and downs.
Is there any difference between "to sum up", "to summarize", and "to recap"?
You've answered your own question. A recap involves a repeat of what was said (in condensed form.)
However, a summary is just a quick, condensed version - no repetition implied. Sum up is a shorter way of saying summarize.