The Persona 4 anime is “officially official.” AIC ASTA, who have previously worked on Bamboo Blade amongst other anime shows, are in charge of the series’ production. There’s a proper website up for the anime now.
The staff and cast page reveals a few additional details. Kazuma Kaneko, who you know as Atlus’ demon designer is credited for Persona designs. Shigenori Soejima is credited for character design. However, Shoji Meguro, music composer for the Persona series, is credited for providing the anime series’ music as well. Is Meguro creating new music specifically for the anime, or will the series use certain tracks from the game? (Or both?)
Additionally, the site reveals that the protagonist has a new name for the anime. Instead of Seta Souji, as he’s referred to in the Persona 4 manga, he’s called Yu Narukami in the anime.
Update: Here’s another teaser trailer. Thanks to MisterDandylion for linking to it in the comments!