I’ve assumed that Jindal would be running for this. I recall some scuttlebutt on Twitter that the Lt. Gov’s race was so important, precisely because Jindal wasn’t expected to complete the term, hint hint. And this was from folks working in the Lt. Gov. campaign.
I don’t know, for some reason, I’d be surprised if he did. If anything, he may run for President in 2016, and the Senate race would be a distraction, since he’d have to start campaigning for President almost immediately upon taking office (and the Dems could use it against him that he wouldn’t be a “full-time” Senator). Even Zero couldn’t have jumped from one to the other that fast.