I play games, sometimes.
It’s Persona 4, the PS2 game, probably being re-released via PS2 classics on PSN. That would make sense, since Atlus re-released Persona 3 FES last year for PS3 using PS2 classics. I wish it was an up-port of Golden; there’s some fun additions in that game.
SMT4 is still 3DS exclusive.
SMT is the “universe” of games (think “Mario” or FF), with a lot of common elements between the games, but with many franchises under the same umbrella. SMT was the originator (4 games+ a sidestory), Persona is the biggest offshoot (4 core games), followed by Devil Summoner (4 games), Digital Devil Saga (2 games on PS2), Devil Survivor (2 games on DS).