You'll need to visit the bootstrap customization page (this link is also in the comments at the top of the bootstrap.min.js file in Framework) and reconfigure the bootstrap.min.js file for your skin. You'll want to scroll down on that page until you see the jQuery plugins section, check the box for the carousel, and then scroll all the way to the bottom and hit download. Then find the bootstrap.min.js file in the package you download and replace the file in your version of framework with that.
Let me know if that fixes it. If it doesn't you might need to check to ensure the carousel CSS is being included in your skin as well (it is included by default in the current release of Framework, so it should work).