There is common knowledge that AIR apps can sometimes be CPU hogs. Well Grant Skinner has written a great blog post about how an AIR application in Flash that does nothing uses 4% of his new Mackbook pro CPU. It’s worth pointing out that Grant finds this only with Mac and not Windows and it is also seen in the Flash Player.
He is urging you to file this in the bug database at Adobe called Jira, the bug is numbered FP-2009 so do a quick search for that.
In the mean time Grant has created a workaround solution that effectively cuts the framerate of your movie when running in the background. The class (called framerateThrottler) is available here and read the full post over at GSkinner.com.
There is a response from the Adobe AIR team that includes some more performance tuning options available to developers.