Sögubrot is an Icelandic word that means "fragment of a story". It's the same as when you read a book and you stop at a very exciting or interesting part, and you have to wait until the next day to find out what happens next.
Sögubrot is usually used in relation to Icelandic sagas, which are stories about the early history of Iceland, including its settlement and the lives of its people. These sagas were written down hundreds of years ago, and many of them only survive in fragments.
So, when people talk about "sögubrot", they're talking about these little pieces of stories that have survived from a time long ago. They might be missing the beginning or the end, or they might be just a small part of a bigger story, but they're still valuable because they give us a glimpse into the past and how people lived and thought back then.
Think of it like a puzzle – each "sögubrot" is one piece, and the more pieces we have, the better we can understand the whole picture. And just like a puzzle, it's exciting to find new pieces and try to fit them together to create the bigger story.