Assuming I'm not misunderstanding you and haven't gotten behind the times myself but...
Facebook is still web based so any technology needs to be web based as well so flash, unity3d, webgl, etc
The last time I dabbled in displaying a game in a facebook window (pre-timeline), you basically used an iframe to display content for your own website so any game that would work on your own website should work in a facebook window.
Hope that helps and isn't complete bollocks ;-)


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