It's been awesome on PS2 and Vita, so sure, why not make it a hat-trick and let Persona 4 be awesome on the PS3 as well.
Perhaps as a stop-gap until the release of Persona 5 (in 2015), the ESRB has a listing for Persona 4 for the PlayStation 3.
It could be a PS2 classic, it could be a port of the Vita's Persona 4 Golden (though since it's listed as only as Shin Megami Tensei: Persona 4, it's likely the former). We're asking, and will update if we hear back.
While we're waiting, check out the ESRB's description of the game, which pretty much nails it:
This is a role-playing game in which players control a high school student who enters a mystical 'TV World, ' saves lost souls who are trapped on the 'Midnight Channel,' and establishes bonds with town characters in order to develop 'Personas.' Personas, which are summoned through the use of tarot cards, are creatures that can perform special offensive and defensive moves to aid during battles against monsters. Combat is turn-based with numeric values and light effects indicating attack/damage inflicted. Pixilated blood spray is briefly depicted during battles, and colored bloodstains stain some walls and floors. Some female monsters (female Persona) are depicted with their breasts exposed, while other monsters have phallic-shaped heads and torsos. Other female Personas (e.g., 'Succubus') have sexual characteristics that are described in text: 'They visit sleeping men and have sexual intercourse with them.' Story elements also make references to alcohol, including a long scene in which the main characters hang out in a club and play 'drinking games.' Although alcohol is never consumed, the characters display the telltale signs of intoxication: slurred speech, staggered walking, and red faces. Profanity (e.g., sh*t, a*shole) can be heard in the dialogue.
Normally, this kind of shameless re-releasing is to be frowned upon, but whatever, it's Persona. The more people who get to experience it for the first time, the better.